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Finding the Third Proportional to 615,984 and 921,460

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Solution

The third proportional to 615,984 and 921,460 is: 1,378,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,984 : 921,460 = 921,460 : x
  2. Step 2: Convert to fraction form
    615,984/921,460 = 921,460/x
  3. Step 3: Cross multiply
    615,984x = 921,460 × 921,460
  4. Step 4: Simplify right side
    615,984x = 849,088,531,600
  5. Step 5: Solve for x
    x = 849,088,531,600/615,984
  6. Step 6: Final answer
    x = 1,378,426.28

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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.