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Finding the Third Proportional to 261,640.50 and 565,103.50

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Solution

The third proportional to 261,640.50 and 565,103.50 is: 1,220,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,640.50 : 565,103.50 = 565,103.50 : x
  2. Step 2: Convert to fraction form
    261,640.50/565,103.50 = 565,103.50/x
  3. Step 3: Cross multiply
    261,640.50x = 565,103.50 × 565,103.50
  4. Step 4: Simplify right side
    261,640.50x = 319,341,965,712.25
  5. Step 5: Solve for x
    x = 319,341,965,712.25/261,640.50
  6. Step 6: Final answer
    x = 1,220,537.21

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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.