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Finding the Third Proportional to 733,878 and 1,033,461.50

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Solution

The third proportional to 733,878 and 1,033,461.50 is: 1,455,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,878 : 1,033,461.50 = 1,033,461.50 : x
  2. Step 2: Convert to fraction form
    733,878/1,033,461.50 = 1,033,461.50/x
  3. Step 3: Cross multiply
    733,878x = 1,033,461.50 × 1,033,461.50
  4. Step 4: Simplify right side
    733,878x = 1,068,042,671,982.25
  5. Step 5: Solve for x
    x = 1,068,042,671,982.25/733,878
  6. Step 6: Final answer
    x = 1,455,340.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.