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Finding the Third Proportional to 1,878 and 4,347.47

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Solution

The third proportional to 1,878 and 4,347.47 is: 10,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878 : 4,347.47 = 4,347.47 : x
  2. Step 2: Convert to fraction form
    1,878/4,347.47 = 4,347.47/x
  3. Step 3: Cross multiply
    1,878x = 4,347.47 × 4,347.47
  4. Step 4: Simplify right side
    1,878x = 18,900,484.53
  5. Step 5: Solve for x
    x = 18,900,484.53/1,878
  6. Step 6: Final answer
    x = 10,064.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.