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Finding the Third Proportional to 286,474 and 623,924

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Solution

The third proportional to 286,474 and 623,924 is: 1,358,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,474 : 623,924 = 623,924 : x
  2. Step 2: Convert to fraction form
    286,474/623,924 = 623,924/x
  3. Step 3: Cross multiply
    286,474x = 623,924 × 623,924
  4. Step 4: Simplify right side
    286,474x = 389,281,157,776
  5. Step 5: Solve for x
    x = 389,281,157,776/286,474
  6. Step 6: Final answer
    x = 1,358,870.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.