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Finding the Third Proportional to 511,314 and 802,143

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Solution

The third proportional to 511,314 and 802,143 is: 1,258,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,314 : 802,143 = 802,143 : x
  2. Step 2: Convert to fraction form
    511,314/802,143 = 802,143/x
  3. Step 3: Cross multiply
    511,314x = 802,143 × 802,143
  4. Step 4: Simplify right side
    511,314x = 643,433,392,449
  5. Step 5: Solve for x
    x = 643,433,392,449/511,314
  6. Step 6: Final answer
    x = 1,258,391.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.