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Finding the Third Proportional to 287,769 and 632,643

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Solution

The third proportional to 287,769 and 632,643 is: 1,390,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,769 : 632,643 = 632,643 : x
  2. Step 2: Convert to fraction form
    287,769/632,643 = 632,643/x
  3. Step 3: Cross multiply
    287,769x = 632,643 × 632,643
  4. Step 4: Simplify right side
    287,769x = 400,237,165,449
  5. Step 5: Solve for x
    x = 400,237,165,449/287,769
  6. Step 6: Final answer
    x = 1,390,827.94

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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.