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Finding the Third Proportional to 440,020 and 661,000

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Solution

The third proportional to 440,020 and 661,000 is: 992,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,020 : 661,000 = 661,000 : x
  2. Step 2: Convert to fraction form
    440,020/661,000 = 661,000/x
  3. Step 3: Cross multiply
    440,020x = 661,000 × 661,000
  4. Step 4: Simplify right side
    440,020x = 436,921,000,000
  5. Step 5: Solve for x
    x = 436,921,000,000/440,020
  6. Step 6: Final answer
    x = 992,957.14

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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.