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Finding the Third Proportional to 145,846 and 316,589

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Solution

The third proportional to 145,846 and 316,589 is: 687,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,846 : 316,589 = 316,589 : x
  2. Step 2: Convert to fraction form
    145,846/316,589 = 316,589/x
  3. Step 3: Cross multiply
    145,846x = 316,589 × 316,589
  4. Step 4: Simplify right side
    145,846x = 100,228,594,921
  5. Step 5: Solve for x
    x = 100,228,594,921/145,846
  6. Step 6: Final answer
    x = 687,222.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.