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Finding the Third Proportional to 261,720 and 564,888

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Solution

The third proportional to 261,720 and 564,888 is: 1,219,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,720 : 564,888 = 564,888 : x
  2. Step 2: Convert to fraction form
    261,720/564,888 = 564,888/x
  3. Step 3: Cross multiply
    261,720x = 564,888 × 564,888
  4. Step 4: Simplify right side
    261,720x = 319,098,452,544
  5. Step 5: Solve for x
    x = 319,098,452,544/261,720
  6. Step 6: Final answer
    x = 1,219,236.03

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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.