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Finding the Third Proportional to 321,702.13 and 693,265.19

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Solution

The third proportional to 321,702.13 and 693,265.19 is: 1,493,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,702.13 : 693,265.19 = 693,265.19 : x
  2. Step 2: Convert to fraction form
    321,702.13/693,265.19 = 693,265.19/x
  3. Step 3: Cross multiply
    321,702.13x = 693,265.19 × 693,265.19
  4. Step 4: Simplify right side
    321,702.13x = 480,616,620,199.41
  5. Step 5: Solve for x
    x = 480,616,620,199.41/321,702.13
  6. Step 6: Final answer
    x = 1,493,980.25

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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.