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Finding the Third Proportional to 138,539,172 and 301,191,816

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Solution

The third proportional to 138,539,172 and 301,191,816 is: 654,807,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,539,172 : 301,191,816 = 301,191,816 : x
  2. Step 2: Convert to fraction form
    138,539,172/301,191,816 = 301,191,816/x
  3. Step 3: Cross multiply
    138,539,172x = 301,191,816 × 301,191,816
  4. Step 4: Simplify right side
    138,539,172x = 90,716,510,025,377,856
  5. Step 5: Solve for x
    x = 90,716,510,025,377,856/138,539,172
  6. Step 6: Final answer
    x = 654,807,652.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.