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Finding the Third Proportional to 487,576 and 740,772

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Solution

The third proportional to 487,576 and 740,772 is: 1,125,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,576 : 740,772 = 740,772 : x
  2. Step 2: Convert to fraction form
    487,576/740,772 = 740,772/x
  3. Step 3: Cross multiply
    487,576x = 740,772 × 740,772
  4. Step 4: Simplify right side
    487,576x = 548,743,155,984
  5. Step 5: Solve for x
    x = 548,743,155,984/487,576
  6. Step 6: Final answer
    x = 1,125,451.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.