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Finding the Third Proportional to 386,971.50 and 557,385.75

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Solution

The third proportional to 386,971.50 and 557,385.75 is: 802,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,971.50 : 557,385.75 = 557,385.75 : x
  2. Step 2: Convert to fraction form
    386,971.50/557,385.75 = 557,385.75/x
  3. Step 3: Cross multiply
    386,971.50x = 557,385.75 × 557,385.75
  4. Step 4: Simplify right side
    386,971.50x = 310,678,874,303.06
  5. Step 5: Solve for x
    x = 310,678,874,303.06/386,971.50
  6. Step 6: Final answer
    x = 802,846.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.