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Finding the Third Proportional to 840,340 and 1,798,808

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Solution

The third proportional to 840,340 and 1,798,808 is: 3,850,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,340 : 1,798,808 = 1,798,808 : x
  2. Step 2: Convert to fraction form
    840,340/1,798,808 = 1,798,808/x
  3. Step 3: Cross multiply
    840,340x = 1,798,808 × 1,798,808
  4. Step 4: Simplify right side
    840,340x = 3,235,710,220,864
  5. Step 5: Solve for x
    x = 3,235,710,220,864/840,340
  6. Step 6: Final answer
    x = 3,850,477.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.