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Finding the Third Proportional to 261,643 and 565,110

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Solution

The third proportional to 261,643 and 565,110 is: 1,220,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,643 : 565,110 = 565,110 : x
  2. Step 2: Convert to fraction form
    261,643/565,110 = 565,110/x
  3. Step 3: Cross multiply
    261,643x = 565,110 × 565,110
  4. Step 4: Simplify right side
    261,643x = 319,349,312,100
  5. Step 5: Solve for x
    x = 319,349,312,100/261,643
  6. Step 6: Final answer
    x = 1,220,553.62

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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.