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Finding the Third Proportional to 261,888 and 565,216

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Solution

The third proportional to 261,888 and 565,216 is: 1,219,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,888 : 565,216 = 565,216 : x
  2. Step 2: Convert to fraction form
    261,888/565,216 = 565,216/x
  3. Step 3: Cross multiply
    261,888x = 565,216 × 565,216
  4. Step 4: Simplify right side
    261,888x = 319,469,126,656
  5. Step 5: Solve for x
    x = 319,469,126,656/261,888
  6. Step 6: Final answer
    x = 1,219,869.28

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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.