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Finding the Third Proportional to 456,237 and 680,619

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Solution

The third proportional to 456,237 and 680,619 is: 1,015,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,237 : 680,619 = 680,619 : x
  2. Step 2: Convert to fraction form
    456,237/680,619 = 680,619/x
  3. Step 3: Cross multiply
    456,237x = 680,619 × 680,619
  4. Step 4: Simplify right side
    456,237x = 463,242,223,161
  5. Step 5: Solve for x
    x = 463,242,223,161/456,237
  6. Step 6: Final answer
    x = 1,015,354.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.