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Finding the Third Proportional to 462,628.50 and 690,103.50

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Solution

The third proportional to 462,628.50 and 690,103.50 is: 1,029,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,628.50 : 690,103.50 = 690,103.50 : x
  2. Step 2: Convert to fraction form
    462,628.50/690,103.50 = 690,103.50/x
  3. Step 3: Cross multiply
    462,628.50x = 690,103.50 × 690,103.50
  4. Step 4: Simplify right side
    462,628.50x = 476,242,840,712.25
  5. Step 5: Solve for x
    x = 476,242,840,712.25/462,628.50
  6. Step 6: Final answer
    x = 1,029,428.24

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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.