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Finding the Third Proportional to 145,278.56 and 314,682.47

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Solution

The third proportional to 145,278.56 and 314,682.47 is: 681,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,278.56 : 314,682.47 = 314,682.47 : x
  2. Step 2: Convert to fraction form
    145,278.56/314,682.47 = 314,682.47/x
  3. Step 3: Cross multiply
    145,278.56x = 314,682.47 × 314,682.47
  4. Step 4: Simplify right side
    145,278.56x = 99,025,056,138.59
  5. Step 5: Solve for x
    x = 99,025,056,138.59/145,278.56
  6. Step 6: Final answer
    x = 681,621.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.