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Finding the Third Proportional to 390,150 and 838,497

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Solution

The third proportional to 390,150 and 838,497 is: 1,802,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,150 : 838,497 = 838,497 : x
  2. Step 2: Convert to fraction form
    390,150/838,497 = 838,497/x
  3. Step 3: Cross multiply
    390,150x = 838,497 × 838,497
  4. Step 4: Simplify right side
    390,150x = 703,077,219,009
  5. Step 5: Solve for x
    x = 703,077,219,009/390,150
  6. Step 6: Final answer
    x = 1,802,069.00

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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.