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Finding the Third Proportional to 121,521 and 189,959

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Solution

The third proportional to 121,521 and 189,959 is: 296,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,521 : 189,959 = 189,959 : x
  2. Step 2: Convert to fraction form
    121,521/189,959 = 189,959/x
  3. Step 3: Cross multiply
    121,521x = 189,959 × 189,959
  4. Step 4: Simplify right side
    121,521x = 36,084,421,681
  5. Step 5: Solve for x
    x = 36,084,421,681/121,521
  6. Step 6: Final answer
    x = 296,939.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.