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Finding the Third Proportional to 117,333 and 249,209

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Solution

The third proportional to 117,333 and 249,209 is: 529,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,333 : 249,209 = 249,209 : x
  2. Step 2: Convert to fraction form
    117,333/249,209 = 249,209/x
  3. Step 3: Cross multiply
    117,333x = 249,209 × 249,209
  4. Step 4: Simplify right side
    117,333x = 62,105,125,681
  5. Step 5: Solve for x
    x = 62,105,125,681/117,333
  6. Step 6: Final answer
    x = 529,306.55

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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.