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Finding the Third Proportional to 462,625.50 and 690,100.88

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Solution

The third proportional to 462,625.50 and 690,100.88 is: 1,029,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,625.50 : 690,100.88 = 690,100.88 : x
  2. Step 2: Convert to fraction form
    462,625.50/690,100.88 = 690,100.88/x
  3. Step 3: Cross multiply
    462,625.50x = 690,100.88 × 690,100.88
  4. Step 4: Simplify right side
    462,625.50x = 476,239,217,675.77
  5. Step 5: Solve for x
    x = 476,239,217,675.77/462,625.50
  6. Step 6: Final answer
    x = 1,029,427.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.