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Finding the Third Proportional to 387,245 and 838,824.50

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Solution

The third proportional to 387,245 and 838,824.50 is: 1,817,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,245 : 838,824.50 = 838,824.50 : x
  2. Step 2: Convert to fraction form
    387,245/838,824.50 = 838,824.50/x
  3. Step 3: Cross multiply
    387,245x = 838,824.50 × 838,824.50
  4. Step 4: Simplify right side
    387,245x = 703,626,541,800.25
  5. Step 5: Solve for x
    x = 703,626,541,800.25/387,245
  6. Step 6: Final answer
    x = 1,817,006.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.