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Finding the Third Proportional to 343,431.56 and 747,878.06

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Solution

The third proportional to 343,431.56 and 747,878.06 is: 1,628,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,431.56 : 747,878.06 = 747,878.06 : x
  2. Step 2: Convert to fraction form
    343,431.56/747,878.06 = 747,878.06/x
  3. Step 3: Cross multiply
    343,431.56x = 747,878.06 × 747,878.06
  4. Step 4: Simplify right side
    343,431.56x = 559,321,596,368.75
  5. Step 5: Solve for x
    x = 559,321,596,368.75/343,431.56
  6. Step 6: Final answer
    x = 1,628,626.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.