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Finding the Third Proportional to 138,156,780 and 299,624,117

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Solution

The third proportional to 138,156,780 and 299,624,117 is: 649,802,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,156,780 : 299,624,117 = 299,624,117 : x
  2. Step 2: Convert to fraction form
    138,156,780/299,624,117 = 299,624,117/x
  3. Step 3: Cross multiply
    138,156,780x = 299,624,117 × 299,624,117
  4. Step 4: Simplify right side
    138,156,780x = 89,774,611,488,029,696
  5. Step 5: Solve for x
    x = 89,774,611,488,029,696/138,156,780
  6. Step 6: Final answer
    x = 649,802,430.89

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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.