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Finding the Third Proportional to 115,280 and 252,430

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Solution

The third proportional to 115,280 and 252,430 is: 552,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,280 : 252,430 = 252,430 : x
  2. Step 2: Convert to fraction form
    115,280/252,430 = 252,430/x
  3. Step 3: Cross multiply
    115,280x = 252,430 × 252,430
  4. Step 4: Simplify right side
    115,280x = 63,720,904,900
  5. Step 5: Solve for x
    x = 63,720,904,900/115,280
  6. Step 6: Final answer
    x = 552,749.00

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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.