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Finding the Third Proportional to 354,718.50 and 778,422.50

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Solution

The third proportional to 354,718.50 and 778,422.50 is: 1,708,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,718.50 : 778,422.50 = 778,422.50 : x
  2. Step 2: Convert to fraction form
    354,718.50/778,422.50 = 778,422.50/x
  3. Step 3: Cross multiply
    354,718.50x = 778,422.50 × 778,422.50
  4. Step 4: Simplify right side
    354,718.50x = 605,941,588,506.25
  5. Step 5: Solve for x
    x = 605,941,588,506.25/354,718.50
  6. Step 6: Final answer
    x = 1,708,232.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.