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Finding the Third Proportional to 102,480 and 130,944

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Solution

The third proportional to 102,480 and 130,944 is: 167,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,480 : 130,944 = 130,944 : x
  2. Step 2: Convert to fraction form
    102,480/130,944 = 130,944/x
  3. Step 3: Cross multiply
    102,480x = 130,944 × 130,944
  4. Step 4: Simplify right side
    102,480x = 17,146,331,136
  5. Step 5: Solve for x
    x = 17,146,331,136/102,480
  6. Step 6: Final answer
    x = 167,313.93

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.