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Finding the Third Proportional to 152,320 and 330,560

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Solution

The third proportional to 152,320 and 330,560 is: 717,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,320 : 330,560 = 330,560 : x
  2. Step 2: Convert to fraction form
    152,320/330,560 = 330,560/x
  3. Step 3: Cross multiply
    152,320x = 330,560 × 330,560
  4. Step 4: Simplify right side
    152,320x = 109,269,913,600
  5. Step 5: Solve for x
    x = 109,269,913,600/152,320
  6. Step 6: Final answer
    x = 717,370.76

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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.