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Finding the Third Proportional to 280,712 and 623,632

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Solution

The third proportional to 280,712 and 623,632 is: 1,385,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,712 : 623,632 = 623,632 : x
  2. Step 2: Convert to fraction form
    280,712/623,632 = 623,632/x
  3. Step 3: Cross multiply
    280,712x = 623,632 × 623,632
  4. Step 4: Simplify right side
    280,712x = 388,916,871,424
  5. Step 5: Solve for x
    x = 388,916,871,424/280,712
  6. Step 6: Final answer
    x = 1,385,465.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.