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Finding the Third Proportional to 380,836.50 and 590,403

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Solution

The third proportional to 380,836.50 and 590,403 is: 915,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,836.50 : 590,403 = 590,403 : x
  2. Step 2: Convert to fraction form
    380,836.50/590,403 = 590,403/x
  3. Step 3: Cross multiply
    380,836.50x = 590,403 × 590,403
  4. Step 4: Simplify right side
    380,836.50x = 348,575,702,409
  5. Step 5: Solve for x
    x = 348,575,702,409/380,836.50
  6. Step 6: Final answer
    x = 915,289.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.