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Finding the Third Proportional to 344,101.50 and 546,576.19

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Solution

The third proportional to 344,101.50 and 546,576.19 is: 868,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,101.50 : 546,576.19 = 546,576.19 : x
  2. Step 2: Convert to fraction form
    344,101.50/546,576.19 = 546,576.19/x
  3. Step 3: Cross multiply
    344,101.50x = 546,576.19 × 546,576.19
  4. Step 4: Simplify right side
    344,101.50x = 298,745,528,742.04
  5. Step 5: Solve for x
    x = 298,745,528,742.04/344,101.50
  6. Step 6: Final answer
    x = 868,190.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.