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Finding the Third Proportional to 431,696 and 653,565

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Solution

The third proportional to 431,696 and 653,565 is: 989,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,696 : 653,565 = 653,565 : x
  2. Step 2: Convert to fraction form
    431,696/653,565 = 653,565/x
  3. Step 3: Cross multiply
    431,696x = 653,565 × 653,565
  4. Step 4: Simplify right side
    431,696x = 427,147,209,225
  5. Step 5: Solve for x
    x = 427,147,209,225/431,696
  6. Step 6: Final answer
    x = 989,462.98

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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.