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Finding the Third Proportional to 145,246 and 313,432

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Solution

The third proportional to 145,246 and 313,432 is: 676,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,246 : 313,432 = 313,432 : x
  2. Step 2: Convert to fraction form
    145,246/313,432 = 313,432/x
  3. Step 3: Cross multiply
    145,246x = 313,432 × 313,432
  4. Step 4: Simplify right side
    145,246x = 98,239,618,624
  5. Step 5: Solve for x
    x = 98,239,618,624/145,246
  6. Step 6: Final answer
    x = 676,367.12

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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.