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Finding the Third Proportional to 747 and 1,830

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Solution

The third proportional to 747 and 1,830 is: 4,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    747 : 1,830 = 1,830 : x
  2. Step 2: Convert to fraction form
    747/1,830 = 1,830/x
  3. Step 3: Cross multiply
    747x = 1,830 × 1,830
  4. Step 4: Simplify right side
    747x = 3,348,900
  5. Step 5: Solve for x
    x = 3,348,900/747
  6. Step 6: Final answer
    x = 4,483.13

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.