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Finding the Third Proportional to 138,156,779.50 and 299,624,126

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Solution

The third proportional to 138,156,779.50 and 299,624,126 is: 649,802,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,156,779.50 : 299,624,126 = 299,624,126 : x
  2. Step 2: Convert to fraction form
    138,156,779.50/299,624,126 = 299,624,126/x
  3. Step 3: Cross multiply
    138,156,779.50x = 299,624,126 × 299,624,126
  4. Step 4: Simplify right side
    138,156,779.50x = 89,774,616,881,263,872
  5. Step 5: Solve for x
    x = 89,774,616,881,263,872/138,156,779.50
  6. Step 6: Final answer
    x = 649,802,472.28

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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.