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Finding the Third Proportional to 130,003,411,590 and 263,662,223,076

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Solution

The third proportional to 130,003,411,590 and 263,662,223,076 is: 534,738,027,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,003,411,590 : 263,662,223,076 = 263,662,223,076 : x
  2. Step 2: Convert to fraction form
    130,003,411,590/263,662,223,076 = 263,662,223,076/x
  3. Step 3: Cross multiply
    130,003,411,590x = 263,662,223,076 × 263,662,223,076
  4. Step 4: Simplify right side
    130,003,411,590x = 69,517,767,877,378,388,787,200
  5. Step 5: Solve for x
    x = 69,517,767,877,378,388,787,200/130,003,411,590
  6. Step 6: Final answer
    x = 534,738,027,465.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.