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Finding the Third Proportional to 390.19 and 803.06

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Solution

The third proportional to 390.19 and 803.06 is: 1,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.19 : 803.06 = 803.06 : x
  2. Step 2: Convert to fraction form
    390.19/803.06 = 803.06/x
  3. Step 3: Cross multiply
    390.19x = 803.06 × 803.06
  4. Step 4: Simplify right side
    390.19x = 644,909.38
  5. Step 5: Solve for x
    x = 644,909.38/390.19
  6. Step 6: Final answer
    x = 1,652.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.