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Finding the Third Proportional to 72,031,760 and 157,724,655

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Solution

The third proportional to 72,031,760 and 157,724,655 is: 345,362,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,031,760 : 157,724,655 = 157,724,655 : x
  2. Step 2: Convert to fraction form
    72,031,760/157,724,655 = 157,724,655/x
  3. Step 3: Cross multiply
    72,031,760x = 157,724,655 × 157,724,655
  4. Step 4: Simplify right side
    72,031,760x = 24,877,066,794,869,024
  5. Step 5: Solve for x
    x = 24,877,066,794,869,024/72,031,760
  6. Step 6: Final answer
    x = 345,362,473.37

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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.