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Finding the Third Proportional to 364,443.05 and 778,708.69

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Solution

The third proportional to 364,443.05 and 778,708.69 is: 1,663,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,443.05 : 778,708.69 = 778,708.69 : x
  2. Step 2: Convert to fraction form
    364,443.05/778,708.69 = 778,708.69/x
  3. Step 3: Cross multiply
    364,443.05x = 778,708.69 × 778,708.69
  4. Step 4: Simplify right side
    364,443.05x = 606,387,219,987.97
  5. Step 5: Solve for x
    x = 606,387,219,987.97/364,443.05
  6. Step 6: Final answer
    x = 1,663,873.75

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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.