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Finding the Third Proportional to 709.31 and 1,490.63

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Solution

The third proportional to 709.31 and 1,490.63 is: 3,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.31 : 1,490.63 = 1,490.63 : x
  2. Step 2: Convert to fraction form
    709.31/1,490.63 = 1,490.63/x
  3. Step 3: Cross multiply
    709.31x = 1,490.63 × 1,490.63
  4. Step 4: Simplify right side
    709.31x = 2,221,962.89
  5. Step 5: Solve for x
    x = 2,221,962.89/709.31
  6. Step 6: Final answer
    x = 3,132.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.