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Finding the Third Proportional to 298,420 and 462,758

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Solution

The third proportional to 298,420 and 462,758 is: 717,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,420 : 462,758 = 462,758 : x
  2. Step 2: Convert to fraction form
    298,420/462,758 = 462,758/x
  3. Step 3: Cross multiply
    298,420x = 462,758 × 462,758
  4. Step 4: Simplify right side
    298,420x = 214,144,966,564
  5. Step 5: Solve for x
    x = 214,144,966,564/298,420
  6. Step 6: Final answer
    x = 717,595.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.