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Finding the Third Proportional to 639,982 and 964,030

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Solution

The third proportional to 639,982 and 964,030 is: 1,452,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,982 : 964,030 = 964,030 : x
  2. Step 2: Convert to fraction form
    639,982/964,030 = 964,030/x
  3. Step 3: Cross multiply
    639,982x = 964,030 × 964,030
  4. Step 4: Simplify right side
    639,982x = 929,353,840,900
  5. Step 5: Solve for x
    x = 929,353,840,900/639,982
  6. Step 6: Final answer
    x = 1,452,156.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.