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Finding the Third Proportional to 116,430 and 254,655

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Solution

The third proportional to 116,430 and 254,655 is: 556,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,430 : 254,655 = 254,655 : x
  2. Step 2: Convert to fraction form
    116,430/254,655 = 254,655/x
  3. Step 3: Cross multiply
    116,430x = 254,655 × 254,655
  4. Step 4: Simplify right side
    116,430x = 64,849,169,025
  5. Step 5: Solve for x
    x = 64,849,169,025/116,430
  6. Step 6: Final answer
    x = 556,979.89

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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.