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Finding the Third Proportional to 387,804.38 and 837,877.50

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Solution

The third proportional to 387,804.38 and 837,877.50 is: 1,810,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,804.38 : 837,877.50 = 837,877.50 : x
  2. Step 2: Convert to fraction form
    387,804.38/837,877.50 = 837,877.50/x
  3. Step 3: Cross multiply
    387,804.38x = 837,877.50 × 837,877.50
  4. Step 4: Simplify right side
    387,804.38x = 702,038,705,006.25
  5. Step 5: Solve for x
    x = 702,038,705,006.25/387,804.38
  6. Step 6: Final answer
    x = 1,810,290.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.