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Finding the Third Proportional to 128,276,995 and 280,075,720

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Solution

The third proportional to 128,276,995 and 280,075,720 is: 611,508,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,276,995 : 280,075,720 = 280,075,720 : x
  2. Step 2: Convert to fraction form
    128,276,995/280,075,720 = 280,075,720/x
  3. Step 3: Cross multiply
    128,276,995x = 280,075,720 × 280,075,720
  4. Step 4: Simplify right side
    128,276,995x = 78,442,408,933,518,400
  5. Step 5: Solve for x
    x = 78,442,408,933,518,400/128,276,995
  6. Step 6: Final answer
    x = 611,508,002.14

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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.