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Finding the Third Proportional to 289,218 and 432,544

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Solution

The third proportional to 289,218 and 432,544 is: 646,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,218 : 432,544 = 432,544 : x
  2. Step 2: Convert to fraction form
    289,218/432,544 = 432,544/x
  3. Step 3: Cross multiply
    289,218x = 432,544 × 432,544
  4. Step 4: Simplify right side
    289,218x = 187,094,311,936
  5. Step 5: Solve for x
    x = 187,094,311,936/289,218
  6. Step 6: Final answer
    x = 646,897.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.