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Finding the Third Proportional to 210,357 and 326,340

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Solution

The third proportional to 210,357 and 326,340 is: 506,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,357 : 326,340 = 326,340 : x
  2. Step 2: Convert to fraction form
    210,357/326,340 = 326,340/x
  3. Step 3: Cross multiply
    210,357x = 326,340 × 326,340
  4. Step 4: Simplify right side
    210,357x = 106,497,795,600
  5. Step 5: Solve for x
    x = 106,497,795,600/210,357
  6. Step 6: Final answer
    x = 506,271.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.