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Finding the Third Proportional to 380,872.13 and 578,785.50

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Solution

The third proportional to 380,872.13 and 578,785.50 is: 879,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,872.13 : 578,785.50 = 578,785.50 : x
  2. Step 2: Convert to fraction form
    380,872.13/578,785.50 = 578,785.50/x
  3. Step 3: Cross multiply
    380,872.13x = 578,785.50 × 578,785.50
  4. Step 4: Simplify right side
    380,872.13x = 334,992,655,010.25
  5. Step 5: Solve for x
    x = 334,992,655,010.25/380,872.13
  6. Step 6: Final answer
    x = 879,541.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.