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Finding the Third Proportional to 333,840 and 721,088

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Solution

The third proportional to 333,840 and 721,088 is: 1,557,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,840 : 721,088 = 721,088 : x
  2. Step 2: Convert to fraction form
    333,840/721,088 = 721,088/x
  3. Step 3: Cross multiply
    333,840x = 721,088 × 721,088
  4. Step 4: Simplify right side
    333,840x = 519,967,903,744
  5. Step 5: Solve for x
    x = 519,967,903,744/333,840
  6. Step 6: Final answer
    x = 1,557,536.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.