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Finding the Third Proportional to 360,485.50 and 777,966.75

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Solution

The third proportional to 360,485.50 and 777,966.75 is: 1,678,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,485.50 : 777,966.75 = 777,966.75 : x
  2. Step 2: Convert to fraction form
    360,485.50/777,966.75 = 777,966.75/x
  3. Step 3: Cross multiply
    360,485.50x = 777,966.75 × 777,966.75
  4. Step 4: Simplify right side
    360,485.50x = 605,232,264,105.56
  5. Step 5: Solve for x
    x = 605,232,264,105.56/360,485.50
  6. Step 6: Final answer
    x = 1,678,936.50

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1.5x scale

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.