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Finding the Third Proportional to 747,710 and 1,121,284

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Solution

The third proportional to 747,710 and 1,121,284 is: 1,681,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,710 : 1,121,284 = 1,121,284 : x
  2. Step 2: Convert to fraction form
    747,710/1,121,284 = 1,121,284/x
  3. Step 3: Cross multiply
    747,710x = 1,121,284 × 1,121,284
  4. Step 4: Simplify right side
    747,710x = 1,257,277,808,656
  5. Step 5: Solve for x
    x = 1,257,277,808,656/747,710
  6. Step 6: Final answer
    x = 1,681,504.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.