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Finding the Third Proportional to 72,427,938 and 157,202,220

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Solution

The third proportional to 72,427,938 and 157,202,220 is: 341,201,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,427,938 : 157,202,220 = 157,202,220 : x
  2. Step 2: Convert to fraction form
    72,427,938/157,202,220 = 157,202,220/x
  3. Step 3: Cross multiply
    72,427,938x = 157,202,220 × 157,202,220
  4. Step 4: Simplify right side
    72,427,938x = 24,712,537,972,928,400
  5. Step 5: Solve for x
    x = 24,712,537,972,928,400/72,427,938
  6. Step 6: Final answer
    x = 341,201,733.13

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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.