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Finding the Third Proportional to 210,766 and 316,157

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Solution

The third proportional to 210,766 and 316,157 is: 474,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,766 : 316,157 = 316,157 : x
  2. Step 2: Convert to fraction form
    210,766/316,157 = 316,157/x
  3. Step 3: Cross multiply
    210,766x = 316,157 × 316,157
  4. Step 4: Simplify right side
    210,766x = 99,955,248,649
  5. Step 5: Solve for x
    x = 99,955,248,649/210,766
  6. Step 6: Final answer
    x = 474,247.50

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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.