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Finding the Third Proportional to 790.38 and 1,155.20

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Solution

The third proportional to 790.38 and 1,155.20 is: 1,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.38 : 1,155.20 = 1,155.20 : x
  2. Step 2: Convert to fraction form
    790.38/1,155.20 = 1,155.20/x
  3. Step 3: Cross multiply
    790.38x = 1,155.20 × 1,155.20
  4. Step 4: Simplify right side
    790.38x = 1,334,485.24
  5. Step 5: Solve for x
    x = 1,334,485.24/790.38
  6. Step 6: Final answer
    x = 1,688.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.