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Finding the Third Proportional to 377,302.50 and 560,826

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Solution

The third proportional to 377,302.50 and 560,826 is: 833,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,302.50 : 560,826 = 560,826 : x
  2. Step 2: Convert to fraction form
    377,302.50/560,826 = 560,826/x
  3. Step 3: Cross multiply
    377,302.50x = 560,826 × 560,826
  4. Step 4: Simplify right side
    377,302.50x = 314,525,802,276
  5. Step 5: Solve for x
    x = 314,525,802,276/377,302.50
  6. Step 6: Final answer
    x = 833,617.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.