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Finding the Third Proportional to 210,276 and 317,592

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Solution

The third proportional to 210,276 and 317,592 is: 479,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,276 : 317,592 = 317,592 : x
  2. Step 2: Convert to fraction form
    210,276/317,592 = 317,592/x
  3. Step 3: Cross multiply
    210,276x = 317,592 × 317,592
  4. Step 4: Simplify right side
    210,276x = 100,864,678,464
  5. Step 5: Solve for x
    x = 100,864,678,464/210,276
  6. Step 6: Final answer
    x = 479,677.56

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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.