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Finding the Third Proportional to 240,712 and 521,600

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Solution

The third proportional to 240,712 and 521,600 is: 1,130,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,712 : 521,600 = 521,600 : x
  2. Step 2: Convert to fraction form
    240,712/521,600 = 521,600/x
  3. Step 3: Cross multiply
    240,712x = 521,600 × 521,600
  4. Step 4: Simplify right side
    240,712x = 272,066,560,000
  5. Step 5: Solve for x
    x = 272,066,560,000/240,712
  6. Step 6: Final answer
    x = 1,130,257.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.