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Finding the Third Proportional to 210,234 and 317,538

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Solution

The third proportional to 210,234 and 317,538 is: 479,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,234 : 317,538 = 317,538 : x
  2. Step 2: Convert to fraction form
    210,234/317,538 = 317,538/x
  3. Step 3: Cross multiply
    210,234x = 317,538 × 317,538
  4. Step 4: Simplify right side
    210,234x = 100,830,381,444
  5. Step 5: Solve for x
    x = 100,830,381,444/210,234
  6. Step 6: Final answer
    x = 479,610.25

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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.