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Finding the Third Proportional to 94,010.63 and 201,128.06

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Solution

The third proportional to 94,010.63 and 201,128.06 is: 430,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,010.63 : 201,128.06 = 201,128.06 : x
  2. Step 2: Convert to fraction form
    94,010.63/201,128.06 = 201,128.06/x
  3. Step 3: Cross multiply
    94,010.63x = 201,128.06 × 201,128.06
  4. Step 4: Simplify right side
    94,010.63x = 40,452,497,525.00
  5. Step 5: Solve for x
    x = 40,452,497,525.00/94,010.63
  6. Step 6: Final answer
    x = 430,297.08

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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.