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Finding the Third Proportional to 372,972 and 578,580

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Solution

The third proportional to 372,972 and 578,580 is: 897,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,972 : 578,580 = 578,580 : x
  2. Step 2: Convert to fraction form
    372,972/578,580 = 578,580/x
  3. Step 3: Cross multiply
    372,972x = 578,580 × 578,580
  4. Step 4: Simplify right side
    372,972x = 334,754,816,400
  5. Step 5: Solve for x
    x = 334,754,816,400/372,972
  6. Step 6: Final answer
    x = 897,533.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.