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Finding the Third Proportional to 287,714 and 632,128

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Solution

The third proportional to 287,714 and 632,128 is: 1,388,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,714 : 632,128 = 632,128 : x
  2. Step 2: Convert to fraction form
    287,714/632,128 = 632,128/x
  3. Step 3: Cross multiply
    287,714x = 632,128 × 632,128
  4. Step 4: Simplify right side
    287,714x = 399,585,808,384
  5. Step 5: Solve for x
    x = 399,585,808,384/287,714
  6. Step 6: Final answer
    x = 1,388,829.91

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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.