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Finding the Third Proportional to 128,276,591 and 280,066,332

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Solution

The third proportional to 128,276,591 and 280,066,332 is: 611,468,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,276,591 : 280,066,332 = 280,066,332 : x
  2. Step 2: Convert to fraction form
    128,276,591/280,066,332 = 280,066,332/x
  3. Step 3: Cross multiply
    128,276,591x = 280,066,332 × 280,066,332
  4. Step 4: Simplify right side
    128,276,591x = 78,437,150,319,934,224
  5. Step 5: Solve for x
    x = 78,437,150,319,934,224/128,276,591
  6. Step 6: Final answer
    x = 611,468,933.72

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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.