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Finding the Third Proportional to 403,827,689 and 878,409,688

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Solution

The third proportional to 403,827,689 and 878,409,688 is: 1,910,724,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827,689 : 878,409,688 = 878,409,688 : x
  2. Step 2: Convert to fraction form
    403,827,689/878,409,688 = 878,409,688/x
  3. Step 3: Cross multiply
    403,827,689x = 878,409,688 × 878,409,688
  4. Step 4: Simplify right side
    403,827,689x = 771,603,579,972,257,280
  5. Step 5: Solve for x
    x = 771,603,579,972,257,280/403,827,689
  6. Step 6: Final answer
    x = 1,910,724,799.19

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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.