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Finding the Third Proportional to 99,542,685 and 207,031,470

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Solution

The third proportional to 99,542,685 and 207,031,470 is: 430,589,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542,685 : 207,031,470 = 207,031,470 : x
  2. Step 2: Convert to fraction form
    99,542,685/207,031,470 = 207,031,470/x
  3. Step 3: Cross multiply
    99,542,685x = 207,031,470 × 207,031,470
  4. Step 4: Simplify right side
    99,542,685x = 42,862,029,570,360,896
  5. Step 5: Solve for x
    x = 42,862,029,570,360,896/99,542,685
  6. Step 6: Final answer
    x = 430,589,445.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.