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Finding the Third Proportional to 619,311 and 905,070

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Solution

The third proportional to 619,311 and 905,070 is: 1,322,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,311 : 905,070 = 905,070 : x
  2. Step 2: Convert to fraction form
    619,311/905,070 = 905,070/x
  3. Step 3: Cross multiply
    619,311x = 905,070 × 905,070
  4. Step 4: Simplify right side
    619,311x = 819,151,704,900
  5. Step 5: Solve for x
    x = 819,151,704,900/619,311
  6. Step 6: Final answer
    x = 1,322,682.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.