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Finding the Third Proportional to 138,308 and 312,522

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Solution

The third proportional to 138,308 and 312,522 is: 706,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,308 : 312,522 = 312,522 : x
  2. Step 2: Convert to fraction form
    138,308/312,522 = 312,522/x
  3. Step 3: Cross multiply
    138,308x = 312,522 × 312,522
  4. Step 4: Simplify right side
    138,308x = 97,670,000,484
  5. Step 5: Solve for x
    x = 97,670,000,484/138,308
  6. Step 6: Final answer
    x = 706,177.52

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.