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Finding the Third Proportional to 121,750 and 265,646

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Solution

The third proportional to 121,750 and 265,646 is: 579,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,750 : 265,646 = 265,646 : x
  2. Step 2: Convert to fraction form
    121,750/265,646 = 265,646/x
  3. Step 3: Cross multiply
    121,750x = 265,646 × 265,646
  4. Step 4: Simplify right side
    121,750x = 70,567,797,316
  5. Step 5: Solve for x
    x = 70,567,797,316/121,750
  6. Step 6: Final answer
    x = 579,612.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.