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Finding the Third Proportional to 397,708 and 602,348

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Solution

The third proportional to 397,708 and 602,348 is: 912,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,708 : 602,348 = 602,348 : x
  2. Step 2: Convert to fraction form
    397,708/602,348 = 602,348/x
  3. Step 3: Cross multiply
    397,708x = 602,348 × 602,348
  4. Step 4: Simplify right side
    397,708x = 362,823,113,104
  5. Step 5: Solve for x
    x = 362,823,113,104/397,708
  6. Step 6: Final answer
    x = 912,285.18

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