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Finding the Third Proportional to 291,809.63 and 627,211.13

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Solution

The third proportional to 291,809.63 and 627,211.13 is: 1,348,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,809.63 : 627,211.13 = 627,211.13 : x
  2. Step 2: Convert to fraction form
    291,809.63/627,211.13 = 627,211.13/x
  3. Step 3: Cross multiply
    291,809.63x = 627,211.13 × 627,211.13
  4. Step 4: Simplify right side
    291,809.63x = 393,393,795,323.77
  5. Step 5: Solve for x
    x = 393,393,795,323.77/291,809.63
  6. Step 6: Final answer
    x = 1,348,117.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.