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Finding the Third Proportional to 1,058.38 and 1,637.40

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Solution

The third proportional to 1,058.38 and 1,637.40 is: 2,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.38 : 1,637.40 = 1,637.40 : x
  2. Step 2: Convert to fraction form
    1,058.38/1,637.40 = 1,637.40/x
  3. Step 3: Cross multiply
    1,058.38x = 1,637.40 × 1,637.40
  4. Step 4: Simplify right side
    1,058.38x = 2,681,086.44
  5. Step 5: Solve for x
    x = 2,681,086.44/1,058.38
  6. Step 6: Final answer
    x = 2,533.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.