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Finding the Third Proportional to 287,721 and 435,580

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Solution

The third proportional to 287,721 and 435,580 is: 659,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,721 : 435,580 = 435,580 : x
  2. Step 2: Convert to fraction form
    287,721/435,580 = 435,580/x
  3. Step 3: Cross multiply
    287,721x = 435,580 × 435,580
  4. Step 4: Simplify right side
    287,721x = 189,729,936,400
  5. Step 5: Solve for x
    x = 189,729,936,400/287,721
  6. Step 6: Final answer
    x = 659,423.32

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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.