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Finding the Third Proportional to 440,918 and 659,658

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Solution

The third proportional to 440,918 and 659,658 is: 986,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,918 : 659,658 = 659,658 : x
  2. Step 2: Convert to fraction form
    440,918/659,658 = 659,658/x
  3. Step 3: Cross multiply
    440,918x = 659,658 × 659,658
  4. Step 4: Simplify right side
    440,918x = 435,148,676,964
  5. Step 5: Solve for x
    x = 435,148,676,964/440,918
  6. Step 6: Final answer
    x = 986,915.20

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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.