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Finding the Third Proportional to 619,488 and 911,088

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Solution

The third proportional to 619,488 and 911,088 is: 1,339,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,488 : 911,088 = 911,088 : x
  2. Step 2: Convert to fraction form
    619,488/911,088 = 911,088/x
  3. Step 3: Cross multiply
    619,488x = 911,088 × 911,088
  4. Step 4: Simplify right side
    619,488x = 830,081,343,744
  5. Step 5: Solve for x
    x = 830,081,343,744/619,488
  6. Step 6: Final answer
    x = 1,339,947.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.