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Finding the Third Proportional to 58,641 and 128,388

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Solution

The third proportional to 58,641 and 128,388 is: 281,091.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,641 : 128,388 = 128,388 : x
  2. Step 2: Convert to fraction form
    58,641/128,388 = 128,388/x
  3. Step 3: Cross multiply
    58,641x = 128,388 × 128,388
  4. Step 4: Simplify right side
    58,641x = 16,483,478,544
  5. Step 5: Solve for x
    x = 16,483,478,544/58,641
  6. Step 6: Final answer
    x = 281,091.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.