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Finding the Third Proportional to 134,003 and 287,440

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Solution

The third proportional to 134,003 and 287,440 is: 616,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,003 : 287,440 = 287,440 : x
  2. Step 2: Convert to fraction form
    134,003/287,440 = 287,440/x
  3. Step 3: Cross multiply
    134,003x = 287,440 × 287,440
  4. Step 4: Simplify right side
    134,003x = 82,621,753,600
  5. Step 5: Solve for x
    x = 82,621,753,600/134,003
  6. Step 6: Final answer
    x = 616,566.45

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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.