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Finding the Third Proportional to 393,523.31 and 607,678.45

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Solution

The third proportional to 393,523.31 and 607,678.45 is: 938,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,523.31 : 607,678.45 = 607,678.45 : x
  2. Step 2: Convert to fraction form
    393,523.31/607,678.45 = 607,678.45/x
  3. Step 3: Cross multiply
    393,523.31x = 607,678.45 × 607,678.45
  4. Step 4: Simplify right side
    393,523.31x = 369,273,102,392.39
  5. Step 5: Solve for x
    x = 369,273,102,392.39/393,523.31
  6. Step 6: Final answer
    x = 938,376.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.