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Finding the Third Proportional to 90,008,509 and 196,371,201

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Solution

The third proportional to 90,008,509 and 196,371,201 is: 428,422,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,008,509 : 196,371,201 = 196,371,201 : x
  2. Step 2: Convert to fraction form
    90,008,509/196,371,201 = 196,371,201/x
  3. Step 3: Cross multiply
    90,008,509x = 196,371,201 × 196,371,201
  4. Step 4: Simplify right side
    90,008,509x = 38,561,648,582,182,400
  5. Step 5: Solve for x
    x = 38,561,648,582,182,400/90,008,509
  6. Step 6: Final answer
    x = 428,422,257.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.