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Finding the Third Proportional to 287,712 and 632,529

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Solution

The third proportional to 287,712 and 632,529 is: 1,390,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712 : 632,529 = 632,529 : x
  2. Step 2: Convert to fraction form
    287,712/632,529 = 632,529/x
  3. Step 3: Cross multiply
    287,712x = 632,529 × 632,529
  4. Step 4: Simplify right side
    287,712x = 400,092,935,841
  5. Step 5: Solve for x
    x = 400,092,935,841/287,712
  6. Step 6: Final answer
    x = 1,390,602.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.