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Finding the Third Proportional to 210,438 and 327,078

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Solution

The third proportional to 210,438 and 327,078 is: 508,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,438 : 327,078 = 327,078 : x
  2. Step 2: Convert to fraction form
    210,438/327,078 = 327,078/x
  3. Step 3: Cross multiply
    210,438x = 327,078 × 327,078
  4. Step 4: Simplify right side
    210,438x = 106,980,018,084
  5. Step 5: Solve for x
    x = 106,980,018,084/210,438
  6. Step 6: Final answer
    x = 508,368.35

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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.