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Finding the Third Proportional to 292,313.81 and 428,355.84

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Solution

The third proportional to 292,313.81 and 428,355.84 is: 627,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,313.81 : 428,355.84 = 428,355.84 : x
  2. Step 2: Convert to fraction form
    292,313.81/428,355.84 = 428,355.84/x
  3. Step 3: Cross multiply
    292,313.81x = 428,355.84 × 428,355.84
  4. Step 4: Simplify right side
    292,313.81x = 183,488,728,874.77
  5. Step 5: Solve for x
    x = 183,488,728,874.77/292,313.81
  6. Step 6: Final answer
    x = 627,711.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.