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Finding the Third Proportional to 615,966 and 921,438

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Solution

The third proportional to 615,966 and 921,438 is: 1,378,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,966 : 921,438 = 921,438 : x
  2. Step 2: Convert to fraction form
    615,966/921,438 = 921,438/x
  3. Step 3: Cross multiply
    615,966x = 921,438 × 921,438
  4. Step 4: Simplify right side
    615,966x = 849,047,987,844
  5. Step 5: Solve for x
    x = 849,047,987,844/615,966
  6. Step 6: Final answer
    x = 1,378,400.74

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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.