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Finding the Third Proportional to 145,808 and 315,800

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Solution

The third proportional to 145,808 and 315,800 is: 683,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,808 : 315,800 = 315,800 : x
  2. Step 2: Convert to fraction form
    145,808/315,800 = 315,800/x
  3. Step 3: Cross multiply
    145,808x = 315,800 × 315,800
  4. Step 4: Simplify right side
    145,808x = 99,729,640,000
  5. Step 5: Solve for x
    x = 99,729,640,000/145,808
  6. Step 6: Final answer
    x = 683,979.21

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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.