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Finding the Third Proportional to 298,060 and 646,928

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Solution

The third proportional to 298,060 and 646,928 is: 1,404,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,060 : 646,928 = 646,928 : x
  2. Step 2: Convert to fraction form
    298,060/646,928 = 646,928/x
  3. Step 3: Cross multiply
    298,060x = 646,928 × 646,928
  4. Step 4: Simplify right side
    298,060x = 418,515,837,184
  5. Step 5: Solve for x
    x = 418,515,837,184/298,060
  6. Step 6: Final answer
    x = 1,404,132.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.