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Finding the Third Proportional to 9,587 and 22,410

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Solution

The third proportional to 9,587 and 22,410 is: 52,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587 : 22,410 = 22,410 : x
  2. Step 2: Convert to fraction form
    9,587/22,410 = 22,410/x
  3. Step 3: Cross multiply
    9,587x = 22,410 × 22,410
  4. Step 4: Simplify right side
    9,587x = 502,208,100
  5. Step 5: Solve for x
    x = 502,208,100/9,587
  6. Step 6: Final answer
    x = 52,384.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.