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Finding the Third Proportional to 502.31 and 1,075.13

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Solution

The third proportional to 502.31 and 1,075.13 is: 2,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.31 : 1,075.13 = 1,075.13 : x
  2. Step 2: Convert to fraction form
    502.31/1,075.13 = 1,075.13/x
  3. Step 3: Cross multiply
    502.31x = 1,075.13 × 1,075.13
  4. Step 4: Simplify right side
    502.31x = 1,155,893.77
  5. Step 5: Solve for x
    x = 1,155,893.77/502.31
  6. Step 6: Final answer
    x = 2,301.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.