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Finding the Third Proportional to 431,299.69 and 652,994.16

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Solution

The third proportional to 431,299.69 and 652,994.16 is: 988,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,299.69 : 652,994.16 = 652,994.16 : x
  2. Step 2: Convert to fraction form
    431,299.69/652,994.16 = 652,994.16/x
  3. Step 3: Cross multiply
    431,299.69x = 652,994.16 × 652,994.16
  4. Step 4: Simplify right side
    431,299.69x = 426,401,368,096.65
  5. Step 5: Solve for x
    x = 426,401,368,096.65/431,299.69
  6. Step 6: Final answer
    x = 988,642.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.