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Finding the Third Proportional to 790.88 and 1,230.05

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Solution

The third proportional to 790.88 and 1,230.05 is: 1,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.88 : 1,230.05 = 1,230.05 : x
  2. Step 2: Convert to fraction form
    790.88/1,230.05 = 1,230.05/x
  3. Step 3: Cross multiply
    790.88x = 1,230.05 × 1,230.05
  4. Step 4: Simplify right side
    790.88x = 1,513,015.31
  5. Step 5: Solve for x
    x = 1,513,015.31/790.88
  6. Step 6: Final answer
    x = 1,913.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.