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Finding the Third Proportional to 116,160 and 254,454

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Solution

The third proportional to 116,160 and 254,454 is: 557,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,160 : 254,454 = 254,454 : x
  2. Step 2: Convert to fraction form
    116,160/254,454 = 254,454/x
  3. Step 3: Cross multiply
    116,160x = 254,454 × 254,454
  4. Step 4: Simplify right side
    116,160x = 64,746,838,116
  5. Step 5: Solve for x
    x = 64,746,838,116/116,160
  6. Step 6: Final answer
    x = 557,393.58

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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.