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Finding the Third Proportional to 330,068 and 721,960

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Solution

The third proportional to 330,068 and 721,960 is: 1,579,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,068 : 721,960 = 721,960 : x
  2. Step 2: Convert to fraction form
    330,068/721,960 = 721,960/x
  3. Step 3: Cross multiply
    330,068x = 721,960 × 721,960
  4. Step 4: Simplify right side
    330,068x = 521,226,241,600
  5. Step 5: Solve for x
    x = 521,226,241,600/330,068
  6. Step 6: Final answer
    x = 1,579,148.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.