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Finding the Third Proportional to 55,388,046 and 121,199,820

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Solution

The third proportional to 55,388,046 and 121,199,820 is: 265,208,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,388,046 : 121,199,820 = 121,199,820 : x
  2. Step 2: Convert to fraction form
    55,388,046/121,199,820 = 121,199,820/x
  3. Step 3: Cross multiply
    55,388,046x = 121,199,820 × 121,199,820
  4. Step 4: Simplify right side
    55,388,046x = 14,689,396,368,032,400
  5. Step 5: Solve for x
    x = 14,689,396,368,032,400/55,388,046
  6. Step 6: Final answer
    x = 265,208,784.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.