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Finding the Third Proportional to 563.41 and 840.45

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Solution

The third proportional to 563.41 and 840.45 is: 1,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.41 : 840.45 = 840.45 : x
  2. Step 2: Convert to fraction form
    563.41/840.45 = 840.45/x
  3. Step 3: Cross multiply
    563.41x = 840.45 × 840.45
  4. Step 4: Simplify right side
    563.41x = 706,348.32
  5. Step 5: Solve for x
    x = 706,348.32/563.41
  6. Step 6: Final answer
    x = 1,253.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.