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Finding the Third Proportional to 72,031,757 and 157,724,650

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Solution

The third proportional to 72,031,757 and 157,724,650 is: 345,362,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,031,757 : 157,724,650 = 157,724,650 : x
  2. Step 2: Convert to fraction form
    72,031,757/157,724,650 = 157,724,650/x
  3. Step 3: Cross multiply
    72,031,757x = 157,724,650 × 157,724,650
  4. Step 4: Simplify right side
    72,031,757x = 24,877,065,217,622,500
  5. Step 5: Solve for x
    x = 24,877,065,217,622,500/72,031,757
  6. Step 6: Final answer
    x = 345,362,465.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.