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Finding the Third Proportional to 217,324 and 343,482

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Solution

The third proportional to 217,324 and 343,482 is: 542,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,324 : 343,482 = 343,482 : x
  2. Step 2: Convert to fraction form
    217,324/343,482 = 343,482/x
  3. Step 3: Cross multiply
    217,324x = 343,482 × 343,482
  4. Step 4: Simplify right side
    217,324x = 117,979,884,324
  5. Step 5: Solve for x
    x = 117,979,884,324/217,324
  6. Step 6: Final answer
    x = 542,875.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.