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Finding the Third Proportional to 145,466 and 313,880

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Solution

The third proportional to 145,466 and 313,880 is: 677,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,466 : 313,880 = 313,880 : x
  2. Step 2: Convert to fraction form
    145,466/313,880 = 313,880/x
  3. Step 3: Cross multiply
    145,466x = 313,880 × 313,880
  4. Step 4: Simplify right side
    145,466x = 98,520,654,400
  5. Step 5: Solve for x
    x = 98,520,654,400/145,466
  6. Step 6: Final answer
    x = 677,276.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.