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Finding the Third Proportional to 8,509,774 and 12,734,587

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Solution

The third proportional to 8,509,774 and 12,734,587 is: 19,056,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,774 : 12,734,587 = 12,734,587 : x
  2. Step 2: Convert to fraction form
    8,509,774/12,734,587 = 12,734,587/x
  3. Step 3: Cross multiply
    8,509,774x = 12,734,587 × 12,734,587
  4. Step 4: Simplify right side
    8,509,774x = 162,169,706,060,569
  5. Step 5: Solve for x
    x = 162,169,706,060,569/8,509,774
  6. Step 6: Final answer
    x = 19,056,875.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.