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Finding the Third Proportional to 154,026 and 310,339.50

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Solution

The third proportional to 154,026 and 310,339.50 is: 625,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,026 : 310,339.50 = 310,339.50 : x
  2. Step 2: Convert to fraction form
    154,026/310,339.50 = 310,339.50/x
  3. Step 3: Cross multiply
    154,026x = 310,339.50 × 310,339.50
  4. Step 4: Simplify right side
    154,026x = 96,310,605,260.25
  5. Step 5: Solve for x
    x = 96,310,605,260.25/154,026
  6. Step 6: Final answer
    x = 625,287.97

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.