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Finding the Third Proportional to 287,766 and 632,637

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Solution

The third proportional to 287,766 and 632,637 is: 1,390,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,766 : 632,637 = 632,637 : x
  2. Step 2: Convert to fraction form
    287,766/632,637 = 632,637/x
  3. Step 3: Cross multiply
    287,766x = 632,637 × 632,637
  4. Step 4: Simplify right side
    287,766x = 400,229,573,769
  5. Step 5: Solve for x
    x = 400,229,573,769/287,766
  6. Step 6: Final answer
    x = 1,390,816.06

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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.