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Finding the Third Proportional to 289,237 and 625,265

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Solution

The third proportional to 289,237 and 625,265 is: 1,351,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,237 : 625,265 = 625,265 : x
  2. Step 2: Convert to fraction form
    289,237/625,265 = 625,265/x
  3. Step 3: Cross multiply
    289,237x = 625,265 × 625,265
  4. Step 4: Simplify right side
    289,237x = 390,956,320,225
  5. Step 5: Solve for x
    x = 390,956,320,225/289,237
  6. Step 6: Final answer
    x = 1,351,681.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.