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Finding the Third Proportional to 173,378 and 358,384

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Solution

The third proportional to 173,378 and 358,384 is: 740,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,378 : 358,384 = 358,384 : x
  2. Step 2: Convert to fraction form
    173,378/358,384 = 358,384/x
  3. Step 3: Cross multiply
    173,378x = 358,384 × 358,384
  4. Step 4: Simplify right side
    173,378x = 128,439,091,456
  5. Step 5: Solve for x
    x = 128,439,091,456/173,378
  6. Step 6: Final answer
    x = 740,803.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.