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Finding the Third Proportional to 142,912 and 306,560

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Solution

The third proportional to 142,912 and 306,560 is: 657,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,912 : 306,560 = 306,560 : x
  2. Step 2: Convert to fraction form
    142,912/306,560 = 306,560/x
  3. Step 3: Cross multiply
    142,912x = 306,560 × 306,560
  4. Step 4: Simplify right side
    142,912x = 93,979,033,600
  5. Step 5: Solve for x
    x = 93,979,033,600/142,912
  6. Step 6: Final answer
    x = 657,600.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.