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Finding the Third Proportional to 145,400 and 313,780

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Solution

The third proportional to 145,400 and 313,780 is: 677,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,400 : 313,780 = 313,780 : x
  2. Step 2: Convert to fraction form
    145,400/313,780 = 313,780/x
  3. Step 3: Cross multiply
    145,400x = 313,780 × 313,780
  4. Step 4: Simplify right side
    145,400x = 98,457,888,400
  5. Step 5: Solve for x
    x = 98,457,888,400/145,400
  6. Step 6: Final answer
    x = 677,151.91

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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.