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Finding the Third Proportional to 403,542,128 and 868,975,186

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Solution

The third proportional to 403,542,128 and 868,975,186 is: 1,871,224,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,542,128 : 868,975,186 = 868,975,186 : x
  2. Step 2: Convert to fraction form
    403,542,128/868,975,186 = 868,975,186/x
  3. Step 3: Cross multiply
    403,542,128x = 868,975,186 × 868,975,186
  4. Step 4: Simplify right side
    403,542,128x = 755,117,873,883,734,656
  5. Step 5: Solve for x
    x = 755,117,873,883,734,656/403,542,128
  6. Step 6: Final answer
    x = 1,871,224,393.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.