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Finding the Third Proportional to 390,480.75 and 791,825.63

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Solution

The third proportional to 390,480.75 and 791,825.63 is: 1,605,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,480.75 : 791,825.63 = 791,825.63 : x
  2. Step 2: Convert to fraction form
    390,480.75/791,825.63 = 791,825.63/x
  3. Step 3: Cross multiply
    390,480.75x = 791,825.63 × 791,825.63
  4. Step 4: Simplify right side
    390,480.75x = 626,987,820,406.64
  5. Step 5: Solve for x
    x = 626,987,820,406.64/390,480.75
  6. Step 6: Final answer
    x = 1,605,681.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.