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Finding the Third Proportional to 154,570.78 and 325,746.56

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Solution

The third proportional to 154,570.78 and 325,746.56 is: 686,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,570.78 : 325,746.56 = 325,746.56 : x
  2. Step 2: Convert to fraction form
    154,570.78/325,746.56 = 325,746.56/x
  3. Step 3: Cross multiply
    154,570.78x = 325,746.56 × 325,746.56
  4. Step 4: Simplify right side
    154,570.78x = 106,110,822,980.57
  5. Step 5: Solve for x
    x = 106,110,822,980.57/154,570.78
  6. Step 6: Final answer
    x = 686,486.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.