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Finding the Third Proportional to 210,374 and 317,745

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Solution

The third proportional to 210,374 and 317,745 is: 479,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,374 : 317,745 = 317,745 : x
  2. Step 2: Convert to fraction form
    210,374/317,745 = 317,745/x
  3. Step 3: Cross multiply
    210,374x = 317,745 × 317,745
  4. Step 4: Simplify right side
    210,374x = 100,961,885,025
  5. Step 5: Solve for x
    x = 100,961,885,025/210,374
  6. Step 6: Final answer
    x = 479,916.17

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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.