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Finding the Third Proportional to 210,147 and 314,478

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Solution

The third proportional to 210,147 and 314,478 is: 470,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,147 : 314,478 = 314,478 : x
  2. Step 2: Convert to fraction form
    210,147/314,478 = 314,478/x
  3. Step 3: Cross multiply
    210,147x = 314,478 × 314,478
  4. Step 4: Simplify right side
    210,147x = 98,896,412,484
  5. Step 5: Solve for x
    x = 98,896,412,484/210,147
  6. Step 6: Final answer
    x = 470,605.87

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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.