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Finding the Third Proportional to 210,248 and 317,559

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Solution

The third proportional to 210,248 and 317,559 is: 479,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,248 : 317,559 = 317,559 : x
  2. Step 2: Convert to fraction form
    210,248/317,559 = 317,559/x
  3. Step 3: Cross multiply
    210,248x = 317,559 × 317,559
  4. Step 4: Simplify right side
    210,248x = 100,843,718,481
  5. Step 5: Solve for x
    x = 100,843,718,481/210,248
  6. Step 6: Final answer
    x = 479,641.75

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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.