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Finding the Third Proportional to 243,490,603.75 and 521,458,449

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Solution

The third proportional to 243,490,603.75 and 521,458,449 is: 1,116,753,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,490,603.75 : 521,458,449 = 521,458,449 : x
  2. Step 2: Convert to fraction form
    243,490,603.75/521,458,449 = 521,458,449/x
  3. Step 3: Cross multiply
    243,490,603.75x = 521,458,449 × 521,458,449
  4. Step 4: Simplify right side
    243,490,603.75x = 271,918,914,033,485,600
  5. Step 5: Solve for x
    x = 271,918,914,033,485,600/243,490,603.75
  6. Step 6: Final answer
    x = 1,116,753,212.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.