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Finding the Third Proportional to 554.69 and 870.13

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Solution

The third proportional to 554.69 and 870.13 is: 1,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.69 : 870.13 = 870.13 : x
  2. Step 2: Convert to fraction form
    554.69/870.13 = 870.13/x
  3. Step 3: Cross multiply
    554.69x = 870.13 × 870.13
  4. Step 4: Simplify right side
    554.69x = 757,117.52
  5. Step 5: Solve for x
    x = 757,117.52/554.69
  6. Step 6: Final answer
    x = 1,364.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.