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Finding the Third Proportional to 291,054 and 636,210.75

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Solution

The third proportional to 291,054 and 636,210.75 is: 1,390,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,054 : 636,210.75 = 636,210.75 : x
  2. Step 2: Convert to fraction form
    291,054/636,210.75 = 636,210.75/x
  3. Step 3: Cross multiply
    291,054x = 636,210.75 × 636,210.75
  4. Step 4: Simplify right side
    291,054x = 404,764,118,415.56
  5. Step 5: Solve for x
    x = 404,764,118,415.56/291,054
  6. Step 6: Final answer
    x = 1,390,683.92

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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.