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Finding the Third Proportional to 431,578 and 653,363

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Solution

The third proportional to 431,578 and 653,363 is: 989,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,578 : 653,363 = 653,363 : x
  2. Step 2: Convert to fraction form
    431,578/653,363 = 653,363/x
  3. Step 3: Cross multiply
    431,578x = 653,363 × 653,363
  4. Step 4: Simplify right side
    431,578x = 426,883,209,769
  5. Step 5: Solve for x
    x = 426,883,209,769/431,578
  6. Step 6: Final answer
    x = 989,121.80

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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.