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Finding the Third Proportional to 431,567 and 653,348

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Solution

The third proportional to 431,567 and 653,348 is: 989,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,567 : 653,348 = 653,348 : x
  2. Step 2: Convert to fraction form
    431,567/653,348 = 653,348/x
  3. Step 3: Cross multiply
    431,567x = 653,348 × 653,348
  4. Step 4: Simplify right side
    431,567x = 426,863,609,104
  5. Step 5: Solve for x
    x = 426,863,609,104/431,567
  6. Step 6: Final answer
    x = 989,101.60

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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.