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Finding the Third Proportional to 121,386 and 266,100

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Solution

The third proportional to 121,386 and 266,100 is: 583,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,386 : 266,100 = 266,100 : x
  2. Step 2: Convert to fraction form
    121,386/266,100 = 266,100/x
  3. Step 3: Cross multiply
    121,386x = 266,100 × 266,100
  4. Step 4: Simplify right side
    121,386x = 70,809,210,000
  5. Step 5: Solve for x
    x = 70,809,210,000/121,386
  6. Step 6: Final answer
    x = 583,339.18

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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.