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Finding the Third Proportional to 287,703 and 632,511

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Solution

The third proportional to 287,703 and 632,511 is: 1,390,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,703 : 632,511 = 632,511 : x
  2. Step 2: Convert to fraction form
    287,703/632,511 = 632,511/x
  3. Step 3: Cross multiply
    287,703x = 632,511 × 632,511
  4. Step 4: Simplify right side
    287,703x = 400,070,165,121
  5. Step 5: Solve for x
    x = 400,070,165,121/287,703
  6. Step 6: Final answer
    x = 1,390,566.54

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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.