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Finding the Third Proportional to 210,768 and 316,156

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Solution

The third proportional to 210,768 and 316,156 is: 474,240.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,768 : 316,156 = 316,156 : x
  2. Step 2: Convert to fraction form
    210,768/316,156 = 316,156/x
  3. Step 3: Cross multiply
    210,768x = 316,156 × 316,156
  4. Step 4: Simplify right side
    210,768x = 99,954,616,336
  5. Step 5: Solve for x
    x = 99,954,616,336/210,768
  6. Step 6: Final answer
    x = 474,240.00

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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.