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Finding the Third Proportional to 455,964 and 782,358

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Solution

The third proportional to 455,964 and 782,358 is: 1,342,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,964 : 782,358 = 782,358 : x
  2. Step 2: Convert to fraction form
    455,964/782,358 = 782,358/x
  3. Step 3: Cross multiply
    455,964x = 782,358 × 782,358
  4. Step 4: Simplify right side
    455,964x = 612,084,040,164
  5. Step 5: Solve for x
    x = 612,084,040,164/455,964
  6. Step 6: Final answer
    x = 1,342,395.54

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.