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Finding the Third Proportional to 145,730 and 313,814

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Solution

The third proportional to 145,730 and 313,814 is: 675,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,730 : 313,814 = 313,814 : x
  2. Step 2: Convert to fraction form
    145,730/313,814 = 313,814/x
  3. Step 3: Cross multiply
    145,730x = 313,814 × 313,814
  4. Step 4: Simplify right side
    145,730x = 98,479,226,596
  5. Step 5: Solve for x
    x = 98,479,226,596/145,730
  6. Step 6: Final answer
    x = 675,764.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.