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Finding the Third Proportional to 121,032 and 256,459

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Solution

The third proportional to 121,032 and 256,459 is: 543,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,032 : 256,459 = 256,459 : x
  2. Step 2: Convert to fraction form
    121,032/256,459 = 256,459/x
  3. Step 3: Cross multiply
    121,032x = 256,459 × 256,459
  4. Step 4: Simplify right side
    121,032x = 65,771,218,681
  5. Step 5: Solve for x
    x = 65,771,218,681/121,032
  6. Step 6: Final answer
    x = 543,420.08

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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.