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Finding the Third Proportional to 377,474.87 and 571,709.71

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Solution

The third proportional to 377,474.87 and 571,709.71 is: 865,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,474.87 : 571,709.71 = 571,709.71 : x
  2. Step 2: Convert to fraction form
    377,474.87/571,709.71 = 571,709.71/x
  3. Step 3: Cross multiply
    377,474.87x = 571,709.71 × 571,709.71
  4. Step 4: Simplify right side
    377,474.87x = 326,851,989,113.76
  5. Step 5: Solve for x
    x = 326,851,989,113.76/377,474.87
  6. Step 6: Final answer
    x = 865,890.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.