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Finding the Third Proportional to 287,576 and 624,831

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Solution

The third proportional to 287,576 and 624,831 is: 1,357,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,576 : 624,831 = 624,831 : x
  2. Step 2: Convert to fraction form
    287,576/624,831 = 624,831/x
  3. Step 3: Cross multiply
    287,576x = 624,831 × 624,831
  4. Step 4: Simplify right side
    287,576x = 390,413,778,561
  5. Step 5: Solve for x
    x = 390,413,778,561/287,576
  6. Step 6: Final answer
    x = 1,357,602.09

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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.