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Finding the Third Proportional to 152,657 and 330,738

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Solution

The third proportional to 152,657 and 330,738 is: 716,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,657 : 330,738 = 330,738 : x
  2. Step 2: Convert to fraction form
    152,657/330,738 = 330,738/x
  3. Step 3: Cross multiply
    152,657x = 330,738 × 330,738
  4. Step 4: Simplify right side
    152,657x = 109,387,624,644
  5. Step 5: Solve for x
    x = 109,387,624,644/152,657
  6. Step 6: Final answer
    x = 716,558.20

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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.