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Finding the Third Proportional to 288,405 and 619,470

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Solution

The third proportional to 288,405 and 619,470 is: 1,330,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,405 : 619,470 = 619,470 : x
  2. Step 2: Convert to fraction form
    288,405/619,470 = 619,470/x
  3. Step 3: Cross multiply
    288,405x = 619,470 × 619,470
  4. Step 4: Simplify right side
    288,405x = 383,743,080,900
  5. Step 5: Solve for x
    x = 383,743,080,900/288,405
  6. Step 6: Final answer
    x = 1,330,570.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.