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Finding the Third Proportional to 354,908 and 778,518

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Solution

The third proportional to 354,908 and 778,518 is: 1,707,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,908 : 778,518 = 778,518 : x
  2. Step 2: Convert to fraction form
    354,908/778,518 = 778,518/x
  3. Step 3: Cross multiply
    354,908x = 778,518 × 778,518
  4. Step 4: Simplify right side
    354,908x = 606,090,276,324
  5. Step 5: Solve for x
    x = 606,090,276,324/354,908
  6. Step 6: Final answer
    x = 1,707,739.12

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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.