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Finding the Third Proportional to 58,550 and 128,480

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Solution

The third proportional to 58,550 and 128,480 is: 281,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,550 : 128,480 = 128,480 : x
  2. Step 2: Convert to fraction form
    58,550/128,480 = 128,480/x
  3. Step 3: Cross multiply
    58,550x = 128,480 × 128,480
  4. Step 4: Simplify right side
    58,550x = 16,507,110,400
  5. Step 5: Solve for x
    x = 16,507,110,400/58,550
  6. Step 6: Final answer
    x = 281,931.86

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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.