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Finding the Third Proportional to 1,124,434 and 1,739,197.50

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Solution

The third proportional to 1,124,434 and 1,739,197.50 is: 2,690,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124,434 : 1,739,197.50 = 1,739,197.50 : x
  2. Step 2: Convert to fraction form
    1,124,434/1,739,197.50 = 1,739,197.50/x
  3. Step 3: Cross multiply
    1,124,434x = 1,739,197.50 × 1,739,197.50
  4. Step 4: Simplify right side
    1,124,434x = 3,024,807,944,006.25
  5. Step 5: Solve for x
    x = 3,024,807,944,006.25/1,124,434
  6. Step 6: Final answer
    x = 2,690,071.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.