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Finding the Third Proportional to 688,287.38 and 1,476,187.88

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Solution

The third proportional to 688,287.38 and 1,476,187.88 is: 3,166,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,287.38 : 1,476,187.88 = 1,476,187.88 : x
  2. Step 2: Convert to fraction form
    688,287.38/1,476,187.88 = 1,476,187.88/x
  3. Step 3: Cross multiply
    688,287.38x = 1,476,187.88 × 1,476,187.88
  4. Step 4: Simplify right side
    688,287.38x = 2,179,130,642,297.02
  5. Step 5: Solve for x
    x = 2,179,130,642,297.02/688,287.38
  6. Step 6: Final answer
    x = 3,166,018.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.