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Finding the Third Proportional to 388,413 and 610,326

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Solution

The third proportional to 388,413 and 610,326 is: 959,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,413 : 610,326 = 610,326 : x
  2. Step 2: Convert to fraction form
    388,413/610,326 = 610,326/x
  3. Step 3: Cross multiply
    388,413x = 610,326 × 610,326
  4. Step 4: Simplify right side
    388,413x = 372,497,826,276
  5. Step 5: Solve for x
    x = 372,497,826,276/388,413
  6. Step 6: Final answer
    x = 959,025.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.