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Finding the Third Proportional to 661,826 and 931,987

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Solution

The third proportional to 661,826 and 931,987 is: 1,312,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,826 : 931,987 = 931,987 : x
  2. Step 2: Convert to fraction form
    661,826/931,987 = 931,987/x
  3. Step 3: Cross multiply
    661,826x = 931,987 × 931,987
  4. Step 4: Simplify right side
    661,826x = 868,599,768,169
  5. Step 5: Solve for x
    x = 868,599,768,169/661,826
  6. Step 6: Final answer
    x = 1,312,429.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.