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Finding the Third Proportional to 630,220 and 945,792

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Solution

The third proportional to 630,220 and 945,792 is: 1,419,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,220 : 945,792 = 945,792 : x
  2. Step 2: Convert to fraction form
    630,220/945,792 = 945,792/x
  3. Step 3: Cross multiply
    630,220x = 945,792 × 945,792
  4. Step 4: Simplify right side
    630,220x = 894,522,507,264
  5. Step 5: Solve for x
    x = 894,522,507,264/630,220
  6. Step 6: Final answer
    x = 1,419,381.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.