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Finding the Third Proportional to 261,549.75 and 554,486.25

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Solution

The third proportional to 261,549.75 and 554,486.25 is: 1,175,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,549.75 : 554,486.25 = 554,486.25 : x
  2. Step 2: Convert to fraction form
    261,549.75/554,486.25 = 554,486.25/x
  3. Step 3: Cross multiply
    261,549.75x = 554,486.25 × 554,486.25
  4. Step 4: Simplify right side
    261,549.75x = 307,455,001,439.06
  5. Step 5: Solve for x
    x = 307,455,001,439.06/261,549.75
  6. Step 6: Final answer
    x = 1,175,512.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.