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Finding the Third Proportional to 142,280 and 310,800

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Solution

The third proportional to 142,280 and 310,800 is: 678,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,280 : 310,800 = 310,800 : x
  2. Step 2: Convert to fraction form
    142,280/310,800 = 310,800/x
  3. Step 3: Cross multiply
    142,280x = 310,800 × 310,800
  4. Step 4: Simplify right side
    142,280x = 96,596,640,000
  5. Step 5: Solve for x
    x = 96,596,640,000/142,280
  6. Step 6: Final answer
    x = 678,919.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.