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Finding the Third Proportional to 121,356.56 and 266,041.13

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Solution

The third proportional to 121,356.56 and 266,041.13 is: 583,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,356.56 : 266,041.13 = 266,041.13 : x
  2. Step 2: Convert to fraction form
    121,356.56/266,041.13 = 266,041.13/x
  3. Step 3: Cross multiply
    121,356.56x = 266,041.13 × 266,041.13
  4. Step 4: Simplify right side
    121,356.56x = 70,777,880,191.27
  5. Step 5: Solve for x
    x = 70,777,880,191.27/121,356.56
  6. Step 6: Final answer
    x = 583,222.52

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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.