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Finding the Third Proportional to 210,534.19 and 342,079.03

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Solution

The third proportional to 210,534.19 and 342,079.03 is: 555,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,534.19 : 342,079.03 = 342,079.03 : x
  2. Step 2: Convert to fraction form
    210,534.19/342,079.03 = 342,079.03/x
  3. Step 3: Cross multiply
    210,534.19x = 342,079.03 × 342,079.03
  4. Step 4: Simplify right side
    210,534.19x = 117,018,063,620.94
  5. Step 5: Solve for x
    x = 117,018,063,620.94/210,534.19
  6. Step 6: Final answer
    x = 555,815.02

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.