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Finding the Third Proportional to 120,539,936 and 261,628,928

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Solution

The third proportional to 120,539,936 and 261,628,928 is: 567,859,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,539,936 : 261,628,928 = 261,628,928 : x
  2. Step 2: Convert to fraction form
    120,539,936/261,628,928 = 261,628,928/x
  3. Step 3: Cross multiply
    120,539,936x = 261,628,928 × 261,628,928
  4. Step 4: Simplify right side
    120,539,936x = 68,449,695,966,429,184
  5. Step 5: Solve for x
    x = 68,449,695,966,429,184/120,539,936
  6. Step 6: Final answer
    x = 567,859,070.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.