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Finding the Third Proportional to 78,480 and 170,640

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Solution

The third proportional to 78,480 and 170,640 is: 371,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480 : 170,640 = 170,640 : x
  2. Step 2: Convert to fraction form
    78,480/170,640 = 170,640/x
  3. Step 3: Cross multiply
    78,480x = 170,640 × 170,640
  4. Step 4: Simplify right side
    78,480x = 29,118,009,600
  5. Step 5: Solve for x
    x = 29,118,009,600/78,480
  6. Step 6: Final answer
    x = 371,024.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.