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Finding the Third Proportional to 128,245,697.25 and 260,059,981.13

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Solution

The third proportional to 128,245,697.25 and 260,059,981.13 is: 527,356,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,245,697.25 : 260,059,981.13 = 260,059,981.13 : x
  2. Step 2: Convert to fraction form
    128,245,697.25/260,059,981.13 = 260,059,981.13/x
  3. Step 3: Cross multiply
    128,245,697.25x = 260,059,981.13 × 260,059,981.13
  4. Step 4: Simplify right side
    128,245,697.25x = 67,631,193,782,735,360
  5. Step 5: Solve for x
    x = 67,631,193,782,735,360/128,245,697.25
  6. Step 6: Final answer
    x = 527,356,435.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.