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Finding the Third Proportional to 646.42 and 1,402.23

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Solution

The third proportional to 646.42 and 1,402.23 is: 3,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.42 : 1,402.23 = 1,402.23 : x
  2. Step 2: Convert to fraction form
    646.42/1,402.23 = 1,402.23/x
  3. Step 3: Cross multiply
    646.42x = 1,402.23 × 1,402.23
  4. Step 4: Simplify right side
    646.42x = 1,966,258.50
  5. Step 5: Solve for x
    x = 1,966,258.50/646.42
  6. Step 6: Final answer
    x = 3,041.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.