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Finding the Third Proportional to 431,705 and 653,580

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Solution

The third proportional to 431,705 and 653,580 is: 989,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,705 : 653,580 = 653,580 : x
  2. Step 2: Convert to fraction form
    431,705/653,580 = 653,580/x
  3. Step 3: Cross multiply
    431,705x = 653,580 × 653,580
  4. Step 4: Simplify right side
    431,705x = 427,166,816,400
  5. Step 5: Solve for x
    x = 427,166,816,400/431,705
  6. Step 6: Final answer
    x = 989,487.77

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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.