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Finding the Third Proportional to 115,835 and 253,813

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Solution

The third proportional to 115,835 and 253,813 is: 556,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,835 : 253,813 = 253,813 : x
  2. Step 2: Convert to fraction form
    115,835/253,813 = 253,813/x
  3. Step 3: Cross multiply
    115,835x = 253,813 × 253,813
  4. Step 4: Simplify right side
    115,835x = 64,421,038,969
  5. Step 5: Solve for x
    x = 64,421,038,969/115,835
  6. Step 6: Final answer
    x = 556,144.85

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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.