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Finding the Third Proportional to 330,018 and 514,738

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Solution

The third proportional to 330,018 and 514,738 is: 802,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,018 : 514,738 = 514,738 : x
  2. Step 2: Convert to fraction form
    330,018/514,738 = 514,738/x
  3. Step 3: Cross multiply
    330,018x = 514,738 × 514,738
  4. Step 4: Simplify right side
    330,018x = 264,955,208,644
  5. Step 5: Solve for x
    x = 264,955,208,644/330,018
  6. Step 6: Final answer
    x = 802,850.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.