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Finding the Third Proportional to 261,981 and 564,030

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Solution

The third proportional to 261,981 and 564,030 is: 1,214,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,981 : 564,030 = 564,030 : x
  2. Step 2: Convert to fraction form
    261,981/564,030 = 564,030/x
  3. Step 3: Cross multiply
    261,981x = 564,030 × 564,030
  4. Step 4: Simplify right side
    261,981x = 318,129,840,900
  5. Step 5: Solve for x
    x = 318,129,840,900/261,981
  6. Step 6: Final answer
    x = 1,214,324.10

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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.