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Finding the Third Proportional to 816,421.50 and 1,287,246

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Solution

The third proportional to 816,421.50 and 1,287,246 is: 2,029,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,421.50 : 1,287,246 = 1,287,246 : x
  2. Step 2: Convert to fraction form
    816,421.50/1,287,246 = 1,287,246/x
  3. Step 3: Cross multiply
    816,421.50x = 1,287,246 × 1,287,246
  4. Step 4: Simplify right side
    816,421.50x = 1,657,002,264,516
  5. Step 5: Solve for x
    x = 1,657,002,264,516/816,421.50
  6. Step 6: Final answer
    x = 2,029,591.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.