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Finding the Third Proportional to 210,182.34 and 317,760.47

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Solution

The third proportional to 210,182.34 and 317,760.47 is: 480,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,182.34 : 317,760.47 = 317,760.47 : x
  2. Step 2: Convert to fraction form
    210,182.34/317,760.47 = 317,760.47/x
  3. Step 3: Cross multiply
    210,182.34x = 317,760.47 × 317,760.47
  4. Step 4: Simplify right side
    210,182.34x = 100,971,715,500.22
  5. Step 5: Solve for x
    x = 100,971,715,500.22/210,182.34
  6. Step 6: Final answer
    x = 480,400.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.