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Finding the Third Proportional to 829,006 and 1,280,127

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Solution

The third proportional to 829,006 and 1,280,127 is: 1,976,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,006 : 1,280,127 = 1,280,127 : x
  2. Step 2: Convert to fraction form
    829,006/1,280,127 = 1,280,127/x
  3. Step 3: Cross multiply
    829,006x = 1,280,127 × 1,280,127
  4. Step 4: Simplify right side
    829,006x = 1,638,725,136,129
  5. Step 5: Solve for x
    x = 1,638,725,136,129/829,006
  6. Step 6: Final answer
    x = 1,976,734.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.