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Finding the Third Proportional to 431,578 and 653,365

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Solution

The third proportional to 431,578 and 653,365 is: 989,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,578 : 653,365 = 653,365 : x
  2. Step 2: Convert to fraction form
    431,578/653,365 = 653,365/x
  3. Step 3: Cross multiply
    431,578x = 653,365 × 653,365
  4. Step 4: Simplify right side
    431,578x = 426,885,823,225
  5. Step 5: Solve for x
    x = 426,885,823,225/431,578
  6. Step 6: Final answer
    x = 989,127.86

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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.