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Finding the Third Proportional to 390,114 and 838,426

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Solution

The third proportional to 390,114 and 838,426 is: 1,801,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,114 : 838,426 = 838,426 : x
  2. Step 2: Convert to fraction form
    390,114/838,426 = 838,426/x
  3. Step 3: Cross multiply
    390,114x = 838,426 × 838,426
  4. Step 4: Simplify right side
    390,114x = 702,958,157,476
  5. Step 5: Solve for x
    x = 702,958,157,476/390,114
  6. Step 6: Final answer
    x = 1,801,930.10

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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.