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Finding the Third Proportional to 435,258 and 665,397

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Solution

The third proportional to 435,258 and 665,397 is: 1,017,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,258 : 665,397 = 665,397 : x
  2. Step 2: Convert to fraction form
    435,258/665,397 = 665,397/x
  3. Step 3: Cross multiply
    435,258x = 665,397 × 665,397
  4. Step 4: Simplify right side
    435,258x = 442,753,167,609
  5. Step 5: Solve for x
    x = 442,753,167,609/435,258
  6. Step 6: Final answer
    x = 1,017,220.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.