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Finding the Third Proportional to 1,050.31 and 1,652.35

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Solution

The third proportional to 1,050.31 and 1,652.35 is: 2,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.31 : 1,652.35 = 1,652.35 : x
  2. Step 2: Convert to fraction form
    1,050.31/1,652.35 = 1,652.35/x
  3. Step 3: Cross multiply
    1,050.31x = 1,652.35 × 1,652.35
  4. Step 4: Simplify right side
    1,050.31x = 2,730,268.91
  5. Step 5: Solve for x
    x = 2,730,268.91/1,050.31
  6. Step 6: Final answer
    x = 2,599.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.