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Finding the Third Proportional to 93,480 and 147,024

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Solution

The third proportional to 93,480 and 147,024 is: 231,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,480 : 147,024 = 147,024 : x
  2. Step 2: Convert to fraction form
    93,480/147,024 = 147,024/x
  3. Step 3: Cross multiply
    93,480x = 147,024 × 147,024
  4. Step 4: Simplify right side
    93,480x = 21,616,056,576
  5. Step 5: Solve for x
    x = 21,616,056,576/93,480
  6. Step 6: Final answer
    x = 231,237.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.