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Finding the Third Proportional to 477,396 and 627,444

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Solution

The third proportional to 477,396 and 627,444 is: 824,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,396 : 627,444 = 627,444 : x
  2. Step 2: Convert to fraction form
    477,396/627,444 = 627,444/x
  3. Step 3: Cross multiply
    477,396x = 627,444 × 627,444
  4. Step 4: Simplify right side
    477,396x = 393,685,973,136
  5. Step 5: Solve for x
    x = 393,685,973,136/477,396
  6. Step 6: Final answer
    x = 824,652.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.