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Finding the Third Proportional to 387,085.50 and 910,732.50

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Solution

The third proportional to 387,085.50 and 910,732.50 is: 2,142,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,085.50 : 910,732.50 = 910,732.50 : x
  2. Step 2: Convert to fraction form
    387,085.50/910,732.50 = 910,732.50/x
  3. Step 3: Cross multiply
    387,085.50x = 910,732.50 × 910,732.50
  4. Step 4: Simplify right side
    387,085.50x = 829,433,686,556.25
  5. Step 5: Solve for x
    x = 829,433,686,556.25/387,085.50
  6. Step 6: Final answer
    x = 2,142,766.10

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.