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Finding the Third Proportional to 98,275.78 and 210,567.09

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Solution

The third proportional to 98,275.78 and 210,567.09 is: 451,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,275.78 : 210,567.09 = 210,567.09 : x
  2. Step 2: Convert to fraction form
    98,275.78/210,567.09 = 210,567.09/x
  3. Step 3: Cross multiply
    98,275.78x = 210,567.09 × 210,567.09
  4. Step 4: Simplify right side
    98,275.78x = 44,338,500,970.32
  5. Step 5: Solve for x
    x = 44,338,500,970.32/98,275.78
  6. Step 6: Final answer
    x = 451,164.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.