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Finding the Third Proportional to 321,658.88 and 473,129.44

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Solution

The third proportional to 321,658.88 and 473,129.44 is: 695,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,658.88 : 473,129.44 = 473,129.44 : x
  2. Step 2: Convert to fraction form
    321,658.88/473,129.44 = 473,129.44/x
  3. Step 3: Cross multiply
    321,658.88x = 473,129.44 × 473,129.44
  4. Step 4: Simplify right side
    321,658.88x = 223,851,464,629.07
  5. Step 5: Solve for x
    x = 223,851,464,629.07/321,658.88
  6. Step 6: Final answer
    x = 695,928.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.