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Finding the Third Proportional to 151,765,236 and 326,548,464

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Solution

The third proportional to 151,765,236 and 326,548,464 is: 702,624,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,765,236 : 326,548,464 = 326,548,464 : x
  2. Step 2: Convert to fraction form
    151,765,236/326,548,464 = 326,548,464/x
  3. Step 3: Cross multiply
    151,765,236x = 326,548,464 × 326,548,464
  4. Step 4: Simplify right side
    151,765,236x = 106,633,899,340,759,296
  5. Step 5: Solve for x
    x = 106,633,899,340,759,296/151,765,236
  6. Step 6: Final answer
    x = 702,624,014.24

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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.