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Finding the Third Proportional to 72,031,756.50 and 157,724,649

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Solution

The third proportional to 72,031,756.50 and 157,724,649 is: 345,362,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,031,756.50 : 157,724,649 = 157,724,649 : x
  2. Step 2: Convert to fraction form
    72,031,756.50/157,724,649 = 157,724,649/x
  3. Step 3: Cross multiply
    72,031,756.50x = 157,724,649 × 157,724,649
  4. Step 4: Simplify right side
    72,031,756.50x = 24,877,064,902,173,200
  5. Step 5: Solve for x
    x = 24,877,064,902,173,200/72,031,756.50
  6. Step 6: Final answer
    x = 345,362,463.88

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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.