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Finding the Third Proportional to 5,427,384 and 8,439,840

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Solution

The third proportional to 5,427,384 and 8,439,840 is: 13,124,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427,384 : 8,439,840 = 8,439,840 : x
  2. Step 2: Convert to fraction form
    5,427,384/8,439,840 = 8,439,840/x
  3. Step 3: Cross multiply
    5,427,384x = 8,439,840 × 8,439,840
  4. Step 4: Simplify right side
    5,427,384x = 71,230,899,225,600
  5. Step 5: Solve for x
    x = 71,230,899,225,600/5,427,384
  6. Step 6: Final answer
    x = 13,124,352.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.