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Finding the Third Proportional to 131,301 and 286,365

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Solution

The third proportional to 131,301 and 286,365 is: 624,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,301 : 286,365 = 286,365 : x
  2. Step 2: Convert to fraction form
    131,301/286,365 = 286,365/x
  3. Step 3: Cross multiply
    131,301x = 286,365 × 286,365
  4. Step 4: Simplify right side
    131,301x = 82,004,913,225
  5. Step 5: Solve for x
    x = 82,004,913,225/131,301
  6. Step 6: Final answer
    x = 624,556.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.