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Finding the Third Proportional to 910.93 and 1,946.69

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Solution

The third proportional to 910.93 and 1,946.69 is: 4,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.93 : 1,946.69 = 1,946.69 : x
  2. Step 2: Convert to fraction form
    910.93/1,946.69 = 1,946.69/x
  3. Step 3: Cross multiply
    910.93x = 1,946.69 × 1,946.69
  4. Step 4: Simplify right side
    910.93x = 3,789,599.83
  5. Step 5: Solve for x
    x = 3,789,599.83/910.93
  6. Step 6: Final answer
    x = 4,160.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.