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Finding the Third Proportional to 218,681.44 and 342,298.13

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Solution

The third proportional to 218,681.44 and 342,298.13 is: 535,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,681.44 : 342,298.13 = 342,298.13 : x
  2. Step 2: Convert to fraction form
    218,681.44/342,298.13 = 342,298.13/x
  3. Step 3: Cross multiply
    218,681.44x = 342,298.13 × 342,298.13
  4. Step 4: Simplify right side
    218,681.44x = 117,168,006,378.52
  5. Step 5: Solve for x
    x = 117,168,006,378.52/218,681.44
  6. Step 6: Final answer
    x = 535,793.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.