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Finding the Third Proportional to 236,666 and 509,418

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Solution

The third proportional to 236,666 and 509,418 is: 1,096,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,666 : 509,418 = 509,418 : x
  2. Step 2: Convert to fraction form
    236,666/509,418 = 509,418/x
  3. Step 3: Cross multiply
    236,666x = 509,418 × 509,418
  4. Step 4: Simplify right side
    236,666x = 259,506,698,724
  5. Step 5: Solve for x
    x = 259,506,698,724/236,666
  6. Step 6: Final answer
    x = 1,096,510.27

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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.