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Finding the Third Proportional to 210,681 and 342,272.25

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Solution

The third proportional to 210,681 and 342,272.25 is: 556,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,681 : 342,272.25 = 342,272.25 : x
  2. Step 2: Convert to fraction form
    210,681/342,272.25 = 342,272.25/x
  3. Step 3: Cross multiply
    210,681x = 342,272.25 × 342,272.25
  4. Step 4: Simplify right side
    210,681x = 117,150,293,120.06
  5. Step 5: Solve for x
    x = 117,150,293,120.06/210,681
  6. Step 6: Final answer
    x = 556,055.33

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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.