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Finding the Third Proportional to 434,754 and 668,331

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Solution

The third proportional to 434,754 and 668,331 is: 1,027,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,754 : 668,331 = 668,331 : x
  2. Step 2: Convert to fraction form
    434,754/668,331 = 668,331/x
  3. Step 3: Cross multiply
    434,754x = 668,331 × 668,331
  4. Step 4: Simplify right side
    434,754x = 446,666,325,561
  5. Step 5: Solve for x
    x = 446,666,325,561/434,754
  6. Step 6: Final answer
    x = 1,027,400.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.