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Finding the Third Proportional to 861,438,089.25 and 1,878,787,408.50

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Solution

The third proportional to 861,438,089.25 and 1,878,787,408.50 is: 4,097,615,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,438,089.25 : 1,878,787,408.50 = 1,878,787,408.50 : x
  2. Step 2: Convert to fraction form
    861,438,089.25/1,878,787,408.50 = 1,878,787,408.50/x
  3. Step 3: Cross multiply
    861,438,089.25x = 1,878,787,408.50 × 1,878,787,408.50
  4. Step 4: Simplify right side
    861,438,089.25x = 3,529,842,126,338,145,792
  5. Step 5: Solve for x
    x = 3,529,842,126,338,145,792/861,438,089.25
  6. Step 6: Final answer
    x = 4,097,615,569.11

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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.