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Finding the Third Proportional to 210,017 and 316,740

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Solution

The third proportional to 210,017 and 316,740 is: 477,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,017 : 316,740 = 316,740 : x
  2. Step 2: Convert to fraction form
    210,017/316,740 = 316,740/x
  3. Step 3: Cross multiply
    210,017x = 316,740 × 316,740
  4. Step 4: Simplify right side
    210,017x = 100,324,227,600
  5. Step 5: Solve for x
    x = 100,324,227,600/210,017
  6. Step 6: Final answer
    x = 477,695.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.