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Finding the Third Proportional to 344,188.50 and 506,153.25

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Solution

The third proportional to 344,188.50 and 506,153.25 is: 744,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,188.50 : 506,153.25 = 506,153.25 : x
  2. Step 2: Convert to fraction form
    344,188.50/506,153.25 = 506,153.25/x
  3. Step 3: Cross multiply
    344,188.50x = 506,153.25 × 506,153.25
  4. Step 4: Simplify right side
    344,188.50x = 256,191,112,485.56
  5. Step 5: Solve for x
    x = 256,191,112,485.56/344,188.50
  6. Step 6: Final answer
    x = 744,333.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.