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Finding the Third Proportional to 403,827,655 and 878,409,620

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Solution

The third proportional to 403,827,655 and 878,409,620 is: 1,910,724,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827,655 : 878,409,620 = 878,409,620 : x
  2. Step 2: Convert to fraction form
    403,827,655/878,409,620 = 878,409,620/x
  3. Step 3: Cross multiply
    403,827,655x = 878,409,620 × 878,409,620
  4. Step 4: Simplify right side
    403,827,655x = 771,603,460,508,544,384
  5. Step 5: Solve for x
    x = 771,603,460,508,544,384/403,827,655
  6. Step 6: Final answer
    x = 1,910,724,664.23

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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.