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Finding the Third Proportional to 98,403 and 211,139

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Solution

The third proportional to 98,403 and 211,139 is: 453,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,403 : 211,139 = 211,139 : x
  2. Step 2: Convert to fraction form
    98,403/211,139 = 211,139/x
  3. Step 3: Cross multiply
    98,403x = 211,139 × 211,139
  4. Step 4: Simplify right side
    98,403x = 44,579,677,321
  5. Step 5: Solve for x
    x = 44,579,677,321/98,403
  6. Step 6: Final answer
    x = 453,031.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.