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Finding the Third Proportional to 434,974 and 665,461.25

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Solution

The third proportional to 434,974 and 665,461.25 is: 1,018,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,974 : 665,461.25 = 665,461.25 : x
  2. Step 2: Convert to fraction form
    434,974/665,461.25 = 665,461.25/x
  3. Step 3: Cross multiply
    434,974x = 665,461.25 × 665,461.25
  4. Step 4: Simplify right side
    434,974x = 442,838,675,251.56
  5. Step 5: Solve for x
    x = 442,838,675,251.56/434,974
  6. Step 6: Final answer
    x = 1,018,080.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.