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Finding the Third Proportional to 287,370 and 624,483

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Solution

The third proportional to 287,370 and 624,483 is: 1,357,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,370 : 624,483 = 624,483 : x
  2. Step 2: Convert to fraction form
    287,370/624,483 = 624,483/x
  3. Step 3: Cross multiply
    287,370x = 624,483 × 624,483
  4. Step 4: Simplify right side
    287,370x = 389,979,017,289
  5. Step 5: Solve for x
    x = 389,979,017,289/287,370
  6. Step 6: Final answer
    x = 1,357,062.38

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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.