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Finding the Third Proportional to 385,326 and 613,680

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Solution

The third proportional to 385,326 and 613,680 is: 977,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,326 : 613,680 = 613,680 : x
  2. Step 2: Convert to fraction form
    385,326/613,680 = 613,680/x
  3. Step 3: Cross multiply
    385,326x = 613,680 × 613,680
  4. Step 4: Simplify right side
    385,326x = 376,603,142,400
  5. Step 5: Solve for x
    x = 376,603,142,400/385,326
  6. Step 6: Final answer
    x = 977,362.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.