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Finding the Third Proportional to 615,840 and 949,040

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Solution

The third proportional to 615,840 and 949,040 is: 1,462,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,840 : 949,040 = 949,040 : x
  2. Step 2: Convert to fraction form
    615,840/949,040 = 949,040/x
  3. Step 3: Cross multiply
    615,840x = 949,040 × 949,040
  4. Step 4: Simplify right side
    615,840x = 900,676,921,600
  5. Step 5: Solve for x
    x = 900,676,921,600/615,840
  6. Step 6: Final answer
    x = 1,462,517.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.