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Finding the Third Proportional to 610.31 and 904.08

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Solution

The third proportional to 610.31 and 904.08 is: 1,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.31 : 904.08 = 904.08 : x
  2. Step 2: Convert to fraction form
    610.31/904.08 = 904.08/x
  3. Step 3: Cross multiply
    610.31x = 904.08 × 904.08
  4. Step 4: Simplify right side
    610.31x = 817,357.26
  5. Step 5: Solve for x
    x = 817,357.26/610.31
  6. Step 6: Final answer
    x = 1,339.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.