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Finding the Third Proportional to 414,352 and 639,840

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Solution

The third proportional to 414,352 and 639,840 is: 988,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,352 : 639,840 = 639,840 : x
  2. Step 2: Convert to fraction form
    414,352/639,840 = 639,840/x
  3. Step 3: Cross multiply
    414,352x = 639,840 × 639,840
  4. Step 4: Simplify right side
    414,352x = 409,395,225,600
  5. Step 5: Solve for x
    x = 409,395,225,600/414,352
  6. Step 6: Final answer
    x = 988,037.29

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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.