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Finding the Third Proportional to 753,765 and 1,640,377.50

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Solution

The third proportional to 753,765 and 1,640,377.50 is: 3,569,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,765 : 1,640,377.50 = 1,640,377.50 : x
  2. Step 2: Convert to fraction form
    753,765/1,640,377.50 = 1,640,377.50/x
  3. Step 3: Cross multiply
    753,765x = 1,640,377.50 × 1,640,377.50
  4. Step 4: Simplify right side
    753,765x = 2,690,838,342,506.25
  5. Step 5: Solve for x
    x = 2,690,838,342,506.25/753,765
  6. Step 6: Final answer
    x = 3,569,863.74

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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.