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Finding the Third Proportional to 115,021 and 251,365

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Solution

The third proportional to 115,021 and 251,365 is: 549,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,021 : 251,365 = 251,365 : x
  2. Step 2: Convert to fraction form
    115,021/251,365 = 251,365/x
  3. Step 3: Cross multiply
    115,021x = 251,365 × 251,365
  4. Step 4: Simplify right side
    115,021x = 63,184,363,225
  5. Step 5: Solve for x
    x = 63,184,363,225/115,021
  6. Step 6: Final answer
    x = 549,328.93

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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.