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Finding the Third Proportional to 217,518 and 306,312

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Solution

The third proportional to 217,518 and 306,312 is: 431,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,518 : 306,312 = 306,312 : x
  2. Step 2: Convert to fraction form
    217,518/306,312 = 306,312/x
  3. Step 3: Cross multiply
    217,518x = 306,312 × 306,312
  4. Step 4: Simplify right side
    217,518x = 93,827,041,344
  5. Step 5: Solve for x
    x = 93,827,041,344/217,518
  6. Step 6: Final answer
    x = 431,353.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.