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Finding the Third Proportional to 145,208 and 217,803

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Solution

The third proportional to 145,208 and 217,803 is: 326,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,208 : 217,803 = 217,803 : x
  2. Step 2: Convert to fraction form
    145,208/217,803 = 217,803/x
  3. Step 3: Cross multiply
    145,208x = 217,803 × 217,803
  4. Step 4: Simplify right side
    145,208x = 47,438,146,809
  5. Step 5: Solve for x
    x = 47,438,146,809/145,208
  6. Step 6: Final answer
    x = 326,691.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.