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Finding the Third Proportional to 256,045.50 and 368,817.75

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Solution

The third proportional to 256,045.50 and 368,817.75 is: 531,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,045.50 : 368,817.75 = 368,817.75 : x
  2. Step 2: Convert to fraction form
    256,045.50/368,817.75 = 368,817.75/x
  3. Step 3: Cross multiply
    256,045.50x = 368,817.75 × 368,817.75
  4. Step 4: Simplify right side
    256,045.50x = 136,026,532,715.06
  5. Step 5: Solve for x
    x = 136,026,532,715.06/256,045.50
  6. Step 6: Final answer
    x = 531,259.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.