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Finding the Third Proportional to 240,288 and 528,540

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Solution

The third proportional to 240,288 and 528,540 is: 1,162,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,288 : 528,540 = 528,540 : x
  2. Step 2: Convert to fraction form
    240,288/528,540 = 528,540/x
  3. Step 3: Cross multiply
    240,288x = 528,540 × 528,540
  4. Step 4: Simplify right side
    240,288x = 279,354,531,600
  5. Step 5: Solve for x
    x = 279,354,531,600/240,288
  6. Step 6: Final answer
    x = 1,162,582.12

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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.