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Finding the Third Proportional to 316,147 and 562,121

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Solution

The third proportional to 316,147 and 562,121 is: 999,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,147 : 562,121 = 562,121 : x
  2. Step 2: Convert to fraction form
    316,147/562,121 = 562,121/x
  3. Step 3: Cross multiply
    316,147x = 562,121 × 562,121
  4. Step 4: Simplify right side
    316,147x = 315,980,018,641
  5. Step 5: Solve for x
    x = 315,980,018,641/316,147
  6. Step 6: Final answer
    x = 999,471.82

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.