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Finding the Third Proportional to 287,160 and 632,208

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Solution

The third proportional to 287,160 and 632,208 is: 1,391,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,160 : 632,208 = 632,208 : x
  2. Step 2: Convert to fraction form
    287,160/632,208 = 632,208/x
  3. Step 3: Cross multiply
    287,160x = 632,208 × 632,208
  4. Step 4: Simplify right side
    287,160x = 399,686,955,264
  5. Step 5: Solve for x
    x = 399,686,955,264/287,160
  6. Step 6: Final answer
    x = 1,391,861.52

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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.