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Finding the Third Proportional to 391,998.50 and 552,038.50

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Solution

The third proportional to 391,998.50 and 552,038.50 is: 777,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,998.50 : 552,038.50 = 552,038.50 : x
  2. Step 2: Convert to fraction form
    391,998.50/552,038.50 = 552,038.50/x
  3. Step 3: Cross multiply
    391,998.50x = 552,038.50 × 552,038.50
  4. Step 4: Simplify right side
    391,998.50x = 304,746,505,482.25
  5. Step 5: Solve for x
    x = 304,746,505,482.25/391,998.50
  6. Step 6: Final answer
    x = 777,417.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.