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Finding the Third Proportional to 63,684,708 and 138,898,156

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Solution

The third proportional to 63,684,708 and 138,898,156 is: 302,940,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,684,708 : 138,898,156 = 138,898,156 : x
  2. Step 2: Convert to fraction form
    63,684,708/138,898,156 = 138,898,156/x
  3. Step 3: Cross multiply
    63,684,708x = 138,898,156 × 138,898,156
  4. Step 4: Simplify right side
    63,684,708x = 19,292,697,740,200,336
  5. Step 5: Solve for x
    x = 19,292,697,740,200,336/63,684,708
  6. Step 6: Final answer
    x = 302,940,821.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.