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Finding the Third Proportional to 728,517 and 1,085,302.50

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Solution

The third proportional to 728,517 and 1,085,302.50 is: 1,616,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,517 : 1,085,302.50 = 1,085,302.50 : x
  2. Step 2: Convert to fraction form
    728,517/1,085,302.50 = 1,085,302.50/x
  3. Step 3: Cross multiply
    728,517x = 1,085,302.50 × 1,085,302.50
  4. Step 4: Simplify right side
    728,517x = 1,177,881,516,506.25
  5. Step 5: Solve for x
    x = 1,177,881,516,506.25/728,517
  6. Step 6: Final answer
    x = 1,616,820.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.