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Finding the Third Proportional to 145,268 and 316,258

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Solution

The third proportional to 145,268 and 316,258 is: 688,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,268 : 316,258 = 316,258 : x
  2. Step 2: Convert to fraction form
    145,268/316,258 = 316,258/x
  3. Step 3: Cross multiply
    145,268x = 316,258 × 316,258
  4. Step 4: Simplify right side
    145,268x = 100,019,122,564
  5. Step 5: Solve for x
    x = 100,019,122,564/145,268
  6. Step 6: Final answer
    x = 688,514.49

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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.