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Finding the Third Proportional to 491,118.19 and 693,210.66

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Solution

The third proportional to 491,118.19 and 693,210.66 is: 978,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,118.19 : 693,210.66 = 693,210.66 : x
  2. Step 2: Convert to fraction form
    491,118.19/693,210.66 = 693,210.66/x
  3. Step 3: Cross multiply
    491,118.19x = 693,210.66 × 693,210.66
  4. Step 4: Simplify right side
    491,118.19x = 480,541,013,938.56
  5. Step 5: Solve for x
    x = 480,541,013,938.56/491,118.19
  6. Step 6: Final answer
    x = 978,463.08

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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.