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Finding the Third Proportional to 210,976 and 316,506

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Solution

The third proportional to 210,976 and 316,506 is: 474,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,976 : 316,506 = 316,506 : x
  2. Step 2: Convert to fraction form
    210,976/316,506 = 316,506/x
  3. Step 3: Cross multiply
    210,976x = 316,506 × 316,506
  4. Step 4: Simplify right side
    210,976x = 100,176,048,036
  5. Step 5: Solve for x
    x = 100,176,048,036/210,976
  6. Step 6: Final answer
    x = 474,822.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.