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Finding the Third Proportional to 287,362 and 624,462

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Solution

The third proportional to 287,362 and 624,462 is: 1,357,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,362 : 624,462 = 624,462 : x
  2. Step 2: Convert to fraction form
    287,362/624,462 = 624,462/x
  3. Step 3: Cross multiply
    287,362x = 624,462 × 624,462
  4. Step 4: Simplify right side
    287,362x = 389,952,789,444
  5. Step 5: Solve for x
    x = 389,952,789,444/287,362
  6. Step 6: Final answer
    x = 1,357,008.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.