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Finding the Third Proportional to 297,911 and 638,461

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Solution

The third proportional to 297,911 and 638,461 is: 1,368,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,911 : 638,461 = 638,461 : x
  2. Step 2: Convert to fraction form
    297,911/638,461 = 638,461/x
  3. Step 3: Cross multiply
    297,911x = 638,461 × 638,461
  4. Step 4: Simplify right side
    297,911x = 407,632,448,521
  5. Step 5: Solve for x
    x = 407,632,448,521/297,911
  6. Step 6: Final answer
    x = 1,368,302.78

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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.