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Finding the Third Proportional to 6,490 and 8,623

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Solution

The third proportional to 6,490 and 8,623 is: 11,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490 : 8,623 = 8,623 : x
  2. Step 2: Convert to fraction form
    6,490/8,623 = 8,623/x
  3. Step 3: Cross multiply
    6,490x = 8,623 × 8,623
  4. Step 4: Simplify right side
    6,490x = 74,356,129
  5. Step 5: Solve for x
    x = 74,356,129/6,490
  6. Step 6: Final answer
    x = 11,457.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.