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Finding the Third Proportional to 646.42 and 848.60

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Solution

The third proportional to 646.42 and 848.60 is: 1,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.42 : 848.60 = 848.60 : x
  2. Step 2: Convert to fraction form
    646.42/848.60 = 848.60/x
  3. Step 3: Cross multiply
    646.42x = 848.60 × 848.60
  4. Step 4: Simplify right side
    646.42x = 720,124.61
  5. Step 5: Solve for x
    x = 720,124.61/646.42
  6. Step 6: Final answer
    x = 1,114.02

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.