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Finding the Third Proportional to 419,716 and 899,319

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Solution

The third proportional to 419,716 and 899,319 is: 1,926,956.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,716 : 899,319 = 899,319 : x
  2. Step 2: Convert to fraction form
    419,716/899,319 = 899,319/x
  3. Step 3: Cross multiply
    419,716x = 899,319 × 899,319
  4. Step 4: Simplify right side
    419,716x = 808,774,663,761
  5. Step 5: Solve for x
    x = 808,774,663,761/419,716
  6. Step 6: Final answer
    x = 1,926,956.95

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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.