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Finding the Third Proportional to 147,818 and 313,280

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Solution

The third proportional to 147,818 and 313,280 is: 663,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,818 : 313,280 = 313,280 : x
  2. Step 2: Convert to fraction form
    147,818/313,280 = 313,280/x
  3. Step 3: Cross multiply
    147,818x = 313,280 × 313,280
  4. Step 4: Simplify right side
    147,818x = 98,144,358,400
  5. Step 5: Solve for x
    x = 98,144,358,400/147,818
  6. Step 6: Final answer
    x = 663,954.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.