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Finding the Third Proportional to 371,640 and 815,460

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Solution

The third proportional to 371,640 and 815,460 is: 1,789,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,640 : 815,460 = 815,460 : x
  2. Step 2: Convert to fraction form
    371,640/815,460 = 815,460/x
  3. Step 3: Cross multiply
    371,640x = 815,460 × 815,460
  4. Step 4: Simplify right side
    371,640x = 664,975,011,600
  5. Step 5: Solve for x
    x = 664,975,011,600/371,640
  6. Step 6: Final answer
    x = 1,789,298.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.