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Finding the Third Proportional to 128,276,992.50 and 280,075,716

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Solution

The third proportional to 128,276,992.50 and 280,075,716 is: 611,507,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,276,992.50 : 280,075,716 = 280,075,716 : x
  2. Step 2: Convert to fraction form
    128,276,992.50/280,075,716 = 280,075,716/x
  3. Step 3: Cross multiply
    128,276,992.50x = 280,075,716 × 280,075,716
  4. Step 4: Simplify right side
    128,276,992.50x = 78,442,406,692,912,656
  5. Step 5: Solve for x
    x = 78,442,406,692,912,656/128,276,992.50
  6. Step 6: Final answer
    x = 611,507,996.60

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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.