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Finding the Third Proportional to 155,742.05 and 340,308.84

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Solution

The third proportional to 155,742.05 and 340,308.84 is: 743,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,742.05 : 340,308.84 = 340,308.84 : x
  2. Step 2: Convert to fraction form
    155,742.05/340,308.84 = 340,308.84/x
  3. Step 3: Cross multiply
    155,742.05x = 340,308.84 × 340,308.84
  4. Step 4: Simplify right side
    155,742.05x = 115,810,109,134.46
  5. Step 5: Solve for x
    x = 115,810,109,134.46/155,742.05
  6. Step 6: Final answer
    x = 743,602.07

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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.