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Finding the Third Proportional to 309,370.13 and 492,273.75

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Solution

The third proportional to 309,370.13 and 492,273.75 is: 783,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,370.13 : 492,273.75 = 492,273.75 : x
  2. Step 2: Convert to fraction form
    309,370.13/492,273.75 = 492,273.75/x
  3. Step 3: Cross multiply
    309,370.13x = 492,273.75 × 492,273.75
  4. Step 4: Simplify right side
    309,370.13x = 242,333,444,939.06
  5. Step 5: Solve for x
    x = 242,333,444,939.06/309,370.13
  6. Step 6: Final answer
    x = 783,312.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.