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Finding the Third Proportional to 387,928 and 602,070

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Solution

The third proportional to 387,928 and 602,070 is: 934,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,928 : 602,070 = 602,070 : x
  2. Step 2: Convert to fraction form
    387,928/602,070 = 602,070/x
  3. Step 3: Cross multiply
    387,928x = 602,070 × 602,070
  4. Step 4: Simplify right side
    387,928x = 362,488,284,900
  5. Step 5: Solve for x
    x = 362,488,284,900/387,928
  6. Step 6: Final answer
    x = 934,421.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.