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Finding the Third Proportional to 287,770 and 632,644

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Solution

The third proportional to 287,770 and 632,644 is: 1,390,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,770 : 632,644 = 632,644 : x
  2. Step 2: Convert to fraction form
    287,770/632,644 = 632,644/x
  3. Step 3: Cross multiply
    287,770x = 632,644 × 632,644
  4. Step 4: Simplify right side
    287,770x = 400,238,430,736
  5. Step 5: Solve for x
    x = 400,238,430,736/287,770
  6. Step 6: Final answer
    x = 1,390,827.50

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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.