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Finding the Third Proportional to 287,382 and 617,415

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Solution

The third proportional to 287,382 and 617,415 is: 1,326,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,382 : 617,415 = 617,415 : x
  2. Step 2: Convert to fraction form
    287,382/617,415 = 617,415/x
  3. Step 3: Cross multiply
    287,382x = 617,415 × 617,415
  4. Step 4: Simplify right side
    287,382x = 381,201,282,225
  5. Step 5: Solve for x
    x = 381,201,282,225/287,382
  6. Step 6: Final answer
    x = 1,326,461.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.