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Finding the Third Proportional to 425,152 and 649,028

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Solution

The third proportional to 425,152 and 649,028 is: 990,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,152 : 649,028 = 649,028 : x
  2. Step 2: Convert to fraction form
    425,152/649,028 = 649,028/x
  3. Step 3: Cross multiply
    425,152x = 649,028 × 649,028
  4. Step 4: Simplify right side
    425,152x = 421,237,344,784
  5. Step 5: Solve for x
    x = 421,237,344,784/425,152
  6. Step 6: Final answer
    x = 990,792.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.