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Finding the Third Proportional to 261,486 and 564,444

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Solution

The third proportional to 261,486 and 564,444 is: 1,218,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,486 : 564,444 = 564,444 : x
  2. Step 2: Convert to fraction form
    261,486/564,444 = 564,444/x
  3. Step 3: Cross multiply
    261,486x = 564,444 × 564,444
  4. Step 4: Simplify right side
    261,486x = 318,597,029,136
  5. Step 5: Solve for x
    x = 318,597,029,136/261,486
  6. Step 6: Final answer
    x = 1,218,409.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.