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Finding the Third Proportional to 479,516 and 715,991

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Solution

The third proportional to 479,516 and 715,991 is: 1,069,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,516 : 715,991 = 715,991 : x
  2. Step 2: Convert to fraction form
    479,516/715,991 = 715,991/x
  3. Step 3: Cross multiply
    479,516x = 715,991 × 715,991
  4. Step 4: Simplify right side
    479,516x = 512,643,112,081
  5. Step 5: Solve for x
    x = 512,643,112,081/479,516
  6. Step 6: Final answer
    x = 1,069,084.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.