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Finding the Third Proportional to 287,716 and 617,048

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Solution

The third proportional to 287,716 and 617,048 is: 1,323,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,716 : 617,048 = 617,048 : x
  2. Step 2: Convert to fraction form
    287,716/617,048 = 617,048/x
  3. Step 3: Cross multiply
    287,716x = 617,048 × 617,048
  4. Step 4: Simplify right side
    287,716x = 380,748,234,304
  5. Step 5: Solve for x
    x = 380,748,234,304/287,716
  6. Step 6: Final answer
    x = 1,323,347.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.