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Finding the Third Proportional to 344,128.50 and 754,737.75

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Solution

The third proportional to 344,128.50 and 754,737.75 is: 1,655,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,128.50 : 754,737.75 = 754,737.75 : x
  2. Step 2: Convert to fraction form
    344,128.50/754,737.75 = 754,737.75/x
  3. Step 3: Cross multiply
    344,128.50x = 754,737.75 × 754,737.75
  4. Step 4: Simplify right side
    344,128.50x = 569,629,071,275.06
  5. Step 5: Solve for x
    x = 569,629,071,275.06/344,128.50
  6. Step 6: Final answer
    x = 1,655,280.14

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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.