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Finding the Third Proportional to 261,798 and 564,780

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Solution

The third proportional to 261,798 and 564,780 is: 1,218,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,798 : 564,780 = 564,780 : x
  2. Step 2: Convert to fraction form
    261,798/564,780 = 564,780/x
  3. Step 3: Cross multiply
    261,798x = 564,780 × 564,780
  4. Step 4: Simplify right side
    261,798x = 318,976,448,400
  5. Step 5: Solve for x
    x = 318,976,448,400/261,798
  6. Step 6: Final answer
    x = 1,218,406.74

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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.