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Finding the Third Proportional to 85,150,209 and 186,420,783

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Solution

The third proportional to 85,150,209 and 186,420,783 is: 408,134,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,150,209 : 186,420,783 = 186,420,783 : x
  2. Step 2: Convert to fraction form
    85,150,209/186,420,783 = 186,420,783/x
  3. Step 3: Cross multiply
    85,150,209x = 186,420,783 × 186,420,783
  4. Step 4: Simplify right side
    85,150,209x = 34,752,708,334,333,088
  5. Step 5: Solve for x
    x = 34,752,708,334,333,088/85,150,209
  6. Step 6: Final answer
    x = 408,134,151.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.