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Finding the Third Proportional to 242,960 and 521,720

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Solution

The third proportional to 242,960 and 521,720 is: 1,120,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,960 : 521,720 = 521,720 : x
  2. Step 2: Convert to fraction form
    242,960/521,720 = 521,720/x
  3. Step 3: Cross multiply
    242,960x = 521,720 × 521,720
  4. Step 4: Simplify right side
    242,960x = 272,191,758,400
  5. Step 5: Solve for x
    x = 272,191,758,400/242,960
  6. Step 6: Final answer
    x = 1,120,315.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.