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Finding the Third Proportional to 602,868 and 932,640

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Solution

The third proportional to 602,868 and 932,640 is: 1,442,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,868 : 932,640 = 932,640 : x
  2. Step 2: Convert to fraction form
    602,868/932,640 = 932,640/x
  3. Step 3: Cross multiply
    602,868x = 932,640 × 932,640
  4. Step 4: Simplify right side
    602,868x = 869,817,369,600
  5. Step 5: Solve for x
    x = 869,817,369,600/602,868
  6. Step 6: Final answer
    x = 1,442,799.04

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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.