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Finding the Third Proportional to 373,478 and 579,261

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Solution

The third proportional to 373,478 and 579,261 is: 898,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,478 : 579,261 = 579,261 : x
  2. Step 2: Convert to fraction form
    373,478/579,261 = 579,261/x
  3. Step 3: Cross multiply
    373,478x = 579,261 × 579,261
  4. Step 4: Simplify right side
    373,478x = 335,543,306,121
  5. Step 5: Solve for x
    x = 335,543,306,121/373,478
  6. Step 6: Final answer
    x = 898,428.57

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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.