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Finding the Third Proportional to 298,512 and 653,724

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Solution

The third proportional to 298,512 and 653,724 is: 1,431,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,512 : 653,724 = 653,724 : x
  2. Step 2: Convert to fraction form
    298,512/653,724 = 653,724/x
  3. Step 3: Cross multiply
    298,512x = 653,724 × 653,724
  4. Step 4: Simplify right side
    298,512x = 427,355,068,176
  5. Step 5: Solve for x
    x = 427,355,068,176/298,512
  6. Step 6: Final answer
    x = 1,431,617.72

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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.