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Finding the Third Proportional to 58,641 and 128,035

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Solution

The third proportional to 58,641 and 128,035 is: 279,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,641 : 128,035 = 128,035 : x
  2. Step 2: Convert to fraction form
    58,641/128,035 = 128,035/x
  3. Step 3: Cross multiply
    58,641x = 128,035 × 128,035
  4. Step 4: Simplify right side
    58,641x = 16,392,961,225
  5. Step 5: Solve for x
    x = 16,392,961,225/58,641
  6. Step 6: Final answer
    x = 279,547.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.