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Finding the Third Proportional to 145,160 and 313,674

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Solution

The third proportional to 145,160 and 313,674 is: 677,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,160 : 313,674 = 313,674 : x
  2. Step 2: Convert to fraction form
    145,160/313,674 = 313,674/x
  3. Step 3: Cross multiply
    145,160x = 313,674 × 313,674
  4. Step 4: Simplify right side
    145,160x = 98,391,378,276
  5. Step 5: Solve for x
    x = 98,391,378,276/145,160
  6. Step 6: Final answer
    x = 677,813.30

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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.