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Finding the Third Proportional to 336,160.50 and 728,328

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Solution

The third proportional to 336,160.50 and 728,328 is: 1,578,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,160.50 : 728,328 = 728,328 : x
  2. Step 2: Convert to fraction form
    336,160.50/728,328 = 728,328/x
  3. Step 3: Cross multiply
    336,160.50x = 728,328 × 728,328
  4. Step 4: Simplify right side
    336,160.50x = 530,461,675,584
  5. Step 5: Solve for x
    x = 530,461,675,584/336,160.50
  6. Step 6: Final answer
    x = 1,578,001.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.