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Finding the Third Proportional to 621,952 and 990,140

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Solution

The third proportional to 621,952 and 990,140 is: 1,576,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,952 : 990,140 = 990,140 : x
  2. Step 2: Convert to fraction form
    621,952/990,140 = 990,140/x
  3. Step 3: Cross multiply
    621,952x = 990,140 × 990,140
  4. Step 4: Simplify right side
    621,952x = 980,377,219,600
  5. Step 5: Solve for x
    x = 980,377,219,600/621,952
  6. Step 6: Final answer
    x = 1,576,290.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.