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Finding the Third Proportional to 207,312 and 316,971

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Solution

The third proportional to 207,312 and 316,971 is: 484,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,312 : 316,971 = 316,971 : x
  2. Step 2: Convert to fraction form
    207,312/316,971 = 316,971/x
  3. Step 3: Cross multiply
    207,312x = 316,971 × 316,971
  4. Step 4: Simplify right side
    207,312x = 100,470,614,841
  5. Step 5: Solve for x
    x = 100,470,614,841/207,312
  6. Step 6: Final answer
    x = 484,634.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.