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Finding the Third Proportional to 372,970 and 578,571

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Solution

The third proportional to 372,970 and 578,571 is: 897,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,970 : 578,571 = 578,571 : x
  2. Step 2: Convert to fraction form
    372,970/578,571 = 578,571/x
  3. Step 3: Cross multiply
    372,970x = 578,571 × 578,571
  4. Step 4: Simplify right side
    372,970x = 334,744,402,041
  5. Step 5: Solve for x
    x = 334,744,402,041/372,970
  6. Step 6: Final answer
    x = 897,510.26

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