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Finding the Third Proportional to 242,288 and 565,940

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Solution

The third proportional to 242,288 and 565,940 is: 1,321,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,288 : 565,940 = 565,940 : x
  2. Step 2: Convert to fraction form
    242,288/565,940 = 565,940/x
  3. Step 3: Cross multiply
    242,288x = 565,940 × 565,940
  4. Step 4: Simplify right side
    242,288x = 320,288,083,600
  5. Step 5: Solve for x
    x = 320,288,083,600/242,288
  6. Step 6: Final answer
    x = 1,321,931.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.