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Finding the Third Proportional to 287,865 and 402,546

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Solution

The third proportional to 287,865 and 402,546 is: 562,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,865 : 402,546 = 402,546 : x
  2. Step 2: Convert to fraction form
    287,865/402,546 = 402,546/x
  3. Step 3: Cross multiply
    287,865x = 402,546 × 402,546
  4. Step 4: Simplify right side
    287,865x = 162,043,282,116
  5. Step 5: Solve for x
    x = 162,043,282,116/287,865
  6. Step 6: Final answer
    x = 562,914.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.