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Finding the Third Proportional to 515,412 and 780,247.50

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Solution

The third proportional to 515,412 and 780,247.50 is: 1,181,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,412 : 780,247.50 = 780,247.50 : x
  2. Step 2: Convert to fraction form
    515,412/780,247.50 = 780,247.50/x
  3. Step 3: Cross multiply
    515,412x = 780,247.50 × 780,247.50
  4. Step 4: Simplify right side
    515,412x = 608,786,161,256.25
  5. Step 5: Solve for x
    x = 608,786,161,256.25/515,412
  6. Step 6: Final answer
    x = 1,181,164.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.