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Finding the Third Proportional to 117,331 and 249,205

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Solution

The third proportional to 117,331 and 249,205 is: 529,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,331 : 249,205 = 249,205 : x
  2. Step 2: Convert to fraction form
    117,331/249,205 = 249,205/x
  3. Step 3: Cross multiply
    117,331x = 249,205 × 249,205
  4. Step 4: Simplify right side
    117,331x = 62,103,132,025
  5. Step 5: Solve for x
    x = 62,103,132,025/117,331
  6. Step 6: Final answer
    x = 529,298.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.