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Finding the Third Proportional to 128,276,997 and 280,075,724

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Solution

The third proportional to 128,276,997 and 280,075,724 is: 611,508,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,276,997 : 280,075,724 = 280,075,724 : x
  2. Step 2: Convert to fraction form
    128,276,997/280,075,724 = 280,075,724/x
  3. Step 3: Cross multiply
    128,276,997x = 280,075,724 × 280,075,724
  4. Step 4: Simplify right side
    128,276,997x = 78,442,411,174,124,176
  5. Step 5: Solve for x
    x = 78,442,411,174,124,176/128,276,997
  6. Step 6: Final answer
    x = 611,508,010.08

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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.