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Finding the Third Proportional to 477,438.75 and 690,459.75

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Solution

The third proportional to 477,438.75 and 690,459.75 is: 998,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,438.75 : 690,459.75 = 690,459.75 : x
  2. Step 2: Convert to fraction form
    477,438.75/690,459.75 = 690,459.75/x
  3. Step 3: Cross multiply
    477,438.75x = 690,459.75 × 690,459.75
  4. Step 4: Simplify right side
    477,438.75x = 476,734,666,370.06
  5. Step 5: Solve for x
    x = 476,734,666,370.06/477,438.75
  6. Step 6: Final answer
    x = 998,525.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.