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Finding the Third Proportional to 440 and 686.25

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Solution

The third proportional to 440 and 686.25 is: 1,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    440 : 686.25 = 686.25 : x
  2. Step 2: Convert to fraction form
    440/686.25 = 686.25/x
  3. Step 3: Cross multiply
    440x = 686.25 × 686.25
  4. Step 4: Simplify right side
    440x = 470,939.06
  5. Step 5: Solve for x
    x = 470,939.06/440
  6. Step 6: Final answer
    x = 1,070.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.