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Finding the Third Proportional to 328,938.47 and 683,733.66

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Solution

The third proportional to 328,938.47 and 683,733.66 is: 1,421,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,938.47 : 683,733.66 = 683,733.66 : x
  2. Step 2: Convert to fraction form
    328,938.47/683,733.66 = 683,733.66/x
  3. Step 3: Cross multiply
    328,938.47x = 683,733.66 × 683,733.66
  4. Step 4: Simplify right side
    328,938.47x = 467,491,712,688.99
  5. Step 5: Solve for x
    x = 467,491,712,688.99/328,938.47
  6. Step 6: Final answer
    x = 1,421,213.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.