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Finding the Third Proportional to 316,244 and 691,480

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Solution

The third proportional to 316,244 and 691,480 is: 1,511,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,244 : 691,480 = 691,480 : x
  2. Step 2: Convert to fraction form
    316,244/691,480 = 691,480/x
  3. Step 3: Cross multiply
    316,244x = 691,480 × 691,480
  4. Step 4: Simplify right side
    316,244x = 478,144,590,400
  5. Step 5: Solve for x
    x = 478,144,590,400/316,244
  6. Step 6: Final answer
    x = 1,511,948.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.