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Finding the Third Proportional to 121,359 and 266,046

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Solution

The third proportional to 121,359 and 266,046 is: 583,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,359 : 266,046 = 266,046 : x
  2. Step 2: Convert to fraction form
    121,359/266,046 = 266,046/x
  3. Step 3: Cross multiply
    121,359x = 266,046 × 266,046
  4. Step 4: Simplify right side
    121,359x = 70,780,474,116
  5. Step 5: Solve for x
    x = 70,780,474,116/121,359
  6. Step 6: Final answer
    x = 583,232.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.