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Finding the Third Proportional to 1,690,578 and 3,703,495.50

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Solution

The third proportional to 1,690,578 and 3,703,495.50 is: 8,113,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,578 : 3,703,495.50 = 3,703,495.50 : x
  2. Step 2: Convert to fraction form
    1,690,578/3,703,495.50 = 3,703,495.50/x
  3. Step 3: Cross multiply
    1,690,578x = 3,703,495.50 × 3,703,495.50
  4. Step 4: Simplify right side
    1,690,578x = 13,715,878,918,520.25
  5. Step 5: Solve for x
    x = 13,715,878,918,520.25/1,690,578
  6. Step 6: Final answer
    x = 8,113,129.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.