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Finding the Third Proportional to 340,078.50 and 508,340.81

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Solution

The third proportional to 340,078.50 and 508,340.81 is: 759,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,078.50 : 508,340.81 = 508,340.81 : x
  2. Step 2: Convert to fraction form
    340,078.50/508,340.81 = 508,340.81/x
  3. Step 3: Cross multiply
    340,078.50x = 508,340.81 × 508,340.81
  4. Step 4: Simplify right side
    340,078.50x = 258,410,381,653.16
  5. Step 5: Solve for x
    x = 258,410,381,653.16/340,078.50
  6. Step 6: Final answer
    x = 759,855.10

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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.