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Finding the Third Proportional to 670.80 and 1,026.21

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Solution

The third proportional to 670.80 and 1,026.21 is: 1,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.80 : 1,026.21 = 1,026.21 : x
  2. Step 2: Convert to fraction form
    670.80/1,026.21 = 1,026.21/x
  3. Step 3: Cross multiply
    670.80x = 1,026.21 × 1,026.21
  4. Step 4: Simplify right side
    670.80x = 1,053,108.89
  5. Step 5: Solve for x
    x = 1,053,108.89/670.80
  6. Step 6: Final answer
    x = 1,569.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.