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Finding the Third Proportional to 420,072.75 and 662,914.13

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Solution

The third proportional to 420,072.75 and 662,914.13 is: 1,046,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,072.75 : 662,914.13 = 662,914.13 : x
  2. Step 2: Convert to fraction form
    420,072.75/662,914.13 = 662,914.13/x
  3. Step 3: Cross multiply
    420,072.75x = 662,914.13 × 662,914.13
  4. Step 4: Simplify right side
    420,072.75x = 439,455,137,124.52
  5. Step 5: Solve for x
    x = 439,455,137,124.52/420,072.75
  6. Step 6: Final answer
    x = 1,046,140.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.