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Finding the Third Proportional to 431,570 and 653,352

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Solution

The third proportional to 431,570 and 653,352 is: 989,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,570 : 653,352 = 653,352 : x
  2. Step 2: Convert to fraction form
    431,570/653,352 = 653,352/x
  3. Step 3: Cross multiply
    431,570x = 653,352 × 653,352
  4. Step 4: Simplify right side
    431,570x = 426,868,835,904
  5. Step 5: Solve for x
    x = 426,868,835,904/431,570
  6. Step 6: Final answer
    x = 989,106.83

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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.