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Finding the Third Proportional to 121,776 and 266,832

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Solution

The third proportional to 121,776 and 266,832 is: 584,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,776 : 266,832 = 266,832 : x
  2. Step 2: Convert to fraction form
    121,776/266,832 = 266,832/x
  3. Step 3: Cross multiply
    121,776x = 266,832 × 266,832
  4. Step 4: Simplify right side
    121,776x = 71,199,316,224
  5. Step 5: Solve for x
    x = 71,199,316,224/121,776
  6. Step 6: Final answer
    x = 584,674.45

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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.