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Finding the Third Proportional to 556.75 and 910.88

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Solution

The third proportional to 556.75 and 910.88 is: 1,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.75 : 910.88 = 910.88 : x
  2. Step 2: Convert to fraction form
    556.75/910.88 = 910.88/x
  3. Step 3: Cross multiply
    556.75x = 910.88 × 910.88
  4. Step 4: Simplify right side
    556.75x = 829,693.27
  5. Step 5: Solve for x
    x = 829,693.27/556.75
  6. Step 6: Final answer
    x = 1,490.24

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.