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Finding the Third Proportional to 310,792.78 and 438,681.66

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Solution

The third proportional to 310,792.78 and 438,681.66 is: 619,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,792.78 : 438,681.66 = 438,681.66 : x
  2. Step 2: Convert to fraction form
    310,792.78/438,681.66 = 438,681.66/x
  3. Step 3: Cross multiply
    310,792.78x = 438,681.66 × 438,681.66
  4. Step 4: Simplify right side
    310,792.78x = 192,441,595,530.24
  5. Step 5: Solve for x
    x = 192,441,595,530.24/310,792.78
  6. Step 6: Final answer
    x = 619,195.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.