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Finding the Third Proportional to 623.91 and 914.06

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Solution

The third proportional to 623.91 and 914.06 is: 1,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.91 : 914.06 = 914.06 : x
  2. Step 2: Convert to fraction form
    623.91/914.06 = 914.06/x
  3. Step 3: Cross multiply
    623.91x = 914.06 × 914.06
  4. Step 4: Simplify right side
    623.91x = 835,510.25
  5. Step 5: Solve for x
    x = 835,510.25/623.91
  6. Step 6: Final answer
    x = 1,339.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.