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Finding the Third Proportional to 240,700 and 521,576

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Solution

The third proportional to 240,700 and 521,576 is: 1,130,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,700 : 521,576 = 521,576 : x
  2. Step 2: Convert to fraction form
    240,700/521,576 = 521,576/x
  3. Step 3: Cross multiply
    240,700x = 521,576 × 521,576
  4. Step 4: Simplify right side
    240,700x = 272,041,523,776
  5. Step 5: Solve for x
    x = 272,041,523,776/240,700
  6. Step 6: Final answer
    x = 1,130,209.90

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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.