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Finding the Third Proportional to 287,726 and 632,554

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Solution

The third proportional to 287,726 and 632,554 is: 1,390,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,726 : 632,554 = 632,554 : x
  2. Step 2: Convert to fraction form
    287,726/632,554 = 632,554/x
  3. Step 3: Cross multiply
    287,726x = 632,554 × 632,554
  4. Step 4: Simplify right side
    287,726x = 400,124,562,916
  5. Step 5: Solve for x
    x = 400,124,562,916/287,726
  6. Step 6: Final answer
    x = 1,390,644.44

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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.