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Finding the Third Proportional to 688.18 and 1,038.68

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Solution

The third proportional to 688.18 and 1,038.68 is: 1,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.18 : 1,038.68 = 1,038.68 : x
  2. Step 2: Convert to fraction form
    688.18/1,038.68 = 1,038.68/x
  3. Step 3: Cross multiply
    688.18x = 1,038.68 × 1,038.68
  4. Step 4: Simplify right side
    688.18x = 1,078,861.58
  5. Step 5: Solve for x
    x = 1,078,861.58/688.18
  6. Step 6: Final answer
    x = 1,567.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.