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Finding the Third Proportional to 419,778 and 899,396

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Solution

The third proportional to 419,778 and 899,396 is: 1,927,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,778 : 899,396 = 899,396 : x
  2. Step 2: Convert to fraction form
    419,778/899,396 = 899,396/x
  3. Step 3: Cross multiply
    419,778x = 899,396 × 899,396
  4. Step 4: Simplify right side
    419,778x = 808,913,164,816
  5. Step 5: Solve for x
    x = 808,913,164,816/419,778
  6. Step 6: Final answer
    x = 1,927,002.28

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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.