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Finding the Third Proportional to 289,191 and 432,078

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Solution

The third proportional to 289,191 and 432,078 is: 645,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,191 : 432,078 = 432,078 : x
  2. Step 2: Convert to fraction form
    289,191/432,078 = 432,078/x
  3. Step 3: Cross multiply
    289,191x = 432,078 × 432,078
  4. Step 4: Simplify right side
    289,191x = 186,691,398,084
  5. Step 5: Solve for x
    x = 186,691,398,084/289,191
  6. Step 6: Final answer
    x = 645,564.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.