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Finding the Third Proportional to 115,405,668 and 243,688,392

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Solution

The third proportional to 115,405,668 and 243,688,392 is: 514,567,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,405,668 : 243,688,392 = 243,688,392 : x
  2. Step 2: Convert to fraction form
    115,405,668/243,688,392 = 243,688,392/x
  3. Step 3: Cross multiply
    115,405,668x = 243,688,392 × 243,688,392
  4. Step 4: Simplify right side
    115,405,668x = 59,384,032,395,545,664
  5. Step 5: Solve for x
    x = 59,384,032,395,545,664/115,405,668
  6. Step 6: Final answer
    x = 514,567,728.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.