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Finding the Third Proportional to 845.64 and 1,312.63

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Solution

The third proportional to 845.64 and 1,312.63 is: 2,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.64 : 1,312.63 = 1,312.63 : x
  2. Step 2: Convert to fraction form
    845.64/1,312.63 = 1,312.63/x
  3. Step 3: Cross multiply
    845.64x = 1,312.63 × 1,312.63
  4. Step 4: Simplify right side
    845.64x = 1,722,984.39
  5. Step 5: Solve for x
    x = 1,722,984.39/845.64
  6. Step 6: Final answer
    x = 2,037.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.