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Finding the Third Proportional to 830.57 and 1,254.71

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Solution

The third proportional to 830.57 and 1,254.71 is: 1,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.57 : 1,254.71 = 1,254.71 : x
  2. Step 2: Convert to fraction form
    830.57/1,254.71 = 1,254.71/x
  3. Step 3: Cross multiply
    830.57x = 1,254.71 × 1,254.71
  4. Step 4: Simplify right side
    830.57x = 1,574,294.64
  5. Step 5: Solve for x
    x = 1,574,294.64/830.57
  6. Step 6: Final answer
    x = 1,895.45

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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.