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Finding the Third Proportional to 377,088 and 545,328

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Solution

The third proportional to 377,088 and 545,328 is: 788,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,088 : 545,328 = 545,328 : x
  2. Step 2: Convert to fraction form
    377,088/545,328 = 545,328/x
  3. Step 3: Cross multiply
    377,088x = 545,328 × 545,328
  4. Step 4: Simplify right side
    377,088x = 297,382,627,584
  5. Step 5: Solve for x
    x = 297,382,627,584/377,088
  6. Step 6: Final answer
    x = 788,629.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.