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Finding the Third Proportional to 206,420.63 and 318,970.13

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Solution

The third proportional to 206,420.63 and 318,970.13 is: 492,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,420.63 : 318,970.13 = 318,970.13 : x
  2. Step 2: Convert to fraction form
    206,420.63/318,970.13 = 318,970.13/x
  3. Step 3: Cross multiply
    206,420.63x = 318,970.13 × 318,970.13
  4. Step 4: Simplify right side
    206,420.63x = 101,741,940,642.52
  5. Step 5: Solve for x
    x = 101,741,940,642.52/206,420.63
  6. Step 6: Final answer
    x = 492,886.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.