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Finding the Third Proportional to 355,342.78 and 777,115.69

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Solution

The third proportional to 355,342.78 and 777,115.69 is: 1,699,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,342.78 : 777,115.69 = 777,115.69 : x
  2. Step 2: Convert to fraction form
    355,342.78/777,115.69 = 777,115.69/x
  3. Step 3: Cross multiply
    355,342.78x = 777,115.69 × 777,115.69
  4. Step 4: Simplify right side
    355,342.78x = 603,908,791,758.60
  5. Step 5: Solve for x
    x = 603,908,791,758.60/355,342.78
  6. Step 6: Final answer
    x = 1,699,510.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.