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Finding the Third Proportional to 615,776 and 921,192

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Solution

The third proportional to 615,776 and 921,192 is: 1,378,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,776 : 921,192 = 921,192 : x
  2. Step 2: Convert to fraction form
    615,776/921,192 = 921,192/x
  3. Step 3: Cross multiply
    615,776x = 921,192 × 921,192
  4. Step 4: Simplify right side
    615,776x = 848,594,700,864
  5. Step 5: Solve for x
    x = 848,594,700,864/615,776
  6. Step 6: Final answer
    x = 1,378,089.92

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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.