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Finding the Third Proportional to 615,988 and 921,466

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Solution

The third proportional to 615,988 and 921,466 is: 1,378,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,988 : 921,466 = 921,466 : x
  2. Step 2: Convert to fraction form
    615,988/921,466 = 921,466/x
  3. Step 3: Cross multiply
    615,988x = 921,466 × 921,466
  4. Step 4: Simplify right side
    615,988x = 849,099,589,156
  5. Step 5: Solve for x
    x = 849,099,589,156/615,988
  6. Step 6: Final answer
    x = 1,378,435.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.