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Finding the Third Proportional to 314,720 and 691,648

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Solution

The third proportional to 314,720 and 691,648 is: 1,520,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,720 : 691,648 = 691,648 : x
  2. Step 2: Convert to fraction form
    314,720/691,648 = 691,648/x
  3. Step 3: Cross multiply
    314,720x = 691,648 × 691,648
  4. Step 4: Simplify right side
    314,720x = 478,376,955,904
  5. Step 5: Solve for x
    x = 478,376,955,904/314,720
  6. Step 6: Final answer
    x = 1,520,008.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.