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Finding the Third Proportional to 1,398,259 and 2,159,205

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Solution

The third proportional to 1,398,259 and 2,159,205 is: 3,334,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,259 : 2,159,205 = 2,159,205 : x
  2. Step 2: Convert to fraction form
    1,398,259/2,159,205 = 2,159,205/x
  3. Step 3: Cross multiply
    1,398,259x = 2,159,205 × 2,159,205
  4. Step 4: Simplify right side
    1,398,259x = 4,662,166,232,025
  5. Step 5: Solve for x
    x = 4,662,166,232,025/1,398,259
  6. Step 6: Final answer
    x = 3,334,265.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.