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Finding the Third Proportional to 145,306 and 313,562

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Solution

The third proportional to 145,306 and 313,562 is: 676,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,306 : 313,562 = 313,562 : x
  2. Step 2: Convert to fraction form
    145,306/313,562 = 313,562/x
  3. Step 3: Cross multiply
    145,306x = 313,562 × 313,562
  4. Step 4: Simplify right side
    145,306x = 98,321,127,844
  5. Step 5: Solve for x
    x = 98,321,127,844/145,306
  6. Step 6: Final answer
    x = 676,648.78

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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.