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Finding the Third Proportional to 688.25 and 1,507

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Solution

The third proportional to 688.25 and 1,507 is: 3,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.25 : 1,507 = 1,507 : x
  2. Step 2: Convert to fraction form
    688.25/1,507 = 1,507/x
  3. Step 3: Cross multiply
    688.25x = 1,507 × 1,507
  4. Step 4: Simplify right side
    688.25x = 2,271,049
  5. Step 5: Solve for x
    x = 2,271,049/688.25
  6. Step 6: Final answer
    x = 3,299.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.