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Finding the Third Proportional to 68,748 and 145,830

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Solution

The third proportional to 68,748 and 145,830 is: 309,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,748 : 145,830 = 145,830 : x
  2. Step 2: Convert to fraction form
    68,748/145,830 = 145,830/x
  3. Step 3: Cross multiply
    68,748x = 145,830 × 145,830
  4. Step 4: Simplify right side
    68,748x = 21,266,388,900
  5. Step 5: Solve for x
    x = 21,266,388,900/68,748
  6. Step 6: Final answer
    x = 309,338.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.