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Finding the Third Proportional to 390,153 and 838,503

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Solution

The third proportional to 390,153 and 838,503 is: 1,802,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,153 : 838,503 = 838,503 : x
  2. Step 2: Convert to fraction form
    390,153/838,503 = 838,503/x
  3. Step 3: Cross multiply
    390,153x = 838,503 × 838,503
  4. Step 4: Simplify right side
    390,153x = 703,087,281,009
  5. Step 5: Solve for x
    x = 703,087,281,009/390,153
  6. Step 6: Final answer
    x = 1,802,080.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.