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Finding the Third Proportional to 397,776 and 602,442

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Solution

The third proportional to 397,776 and 602,442 is: 912,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,776 : 602,442 = 602,442 : x
  2. Step 2: Convert to fraction form
    397,776/602,442 = 602,442/x
  3. Step 3: Cross multiply
    397,776x = 602,442 × 602,442
  4. Step 4: Simplify right side
    397,776x = 362,936,363,364
  5. Step 5: Solve for x
    x = 362,936,363,364/397,776
  6. Step 6: Final answer
    x = 912,413.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.