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Finding the Third Proportional to 299,460 and 654,438

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Solution

The third proportional to 299,460 and 654,438 is: 1,430,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,460 : 654,438 = 654,438 : x
  2. Step 2: Convert to fraction form
    299,460/654,438 = 654,438/x
  3. Step 3: Cross multiply
    299,460x = 654,438 × 654,438
  4. Step 4: Simplify right side
    299,460x = 428,289,095,844
  5. Step 5: Solve for x
    x = 428,289,095,844/299,460
  6. Step 6: Final answer
    x = 1,430,204.69

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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.