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Finding the Third Proportional to 287,255 and 386,413

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Solution

The third proportional to 287,255 and 386,413 is: 519,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,255 : 386,413 = 386,413 : x
  2. Step 2: Convert to fraction form
    287,255/386,413 = 386,413/x
  3. Step 3: Cross multiply
    287,255x = 386,413 × 386,413
  4. Step 4: Simplify right side
    287,255x = 149,315,006,569
  5. Step 5: Solve for x
    x = 149,315,006,569/287,255
  6. Step 6: Final answer
    x = 519,799.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.