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Finding the Third Proportional to 287,762 and 632,628

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Solution

The third proportional to 287,762 and 632,628 is: 1,390,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,762 : 632,628 = 632,628 : x
  2. Step 2: Convert to fraction form
    287,762/632,628 = 632,628/x
  3. Step 3: Cross multiply
    287,762x = 632,628 × 632,628
  4. Step 4: Simplify right side
    287,762x = 400,218,186,384
  5. Step 5: Solve for x
    x = 400,218,186,384/287,762
  6. Step 6: Final answer
    x = 1,390,795.82

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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.