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Finding the Third Proportional to 334,080 and 728,458.50

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Solution

The third proportional to 334,080 and 728,458.50 is: 1,588,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,080 : 728,458.50 = 728,458.50 : x
  2. Step 2: Convert to fraction form
    334,080/728,458.50 = 728,458.50/x
  3. Step 3: Cross multiply
    334,080x = 728,458.50 × 728,458.50
  4. Step 4: Simplify right side
    334,080x = 530,651,786,222.25
  5. Step 5: Solve for x
    x = 530,651,786,222.25/334,080
  6. Step 6: Final answer
    x = 1,588,397.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.