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Finding the Third Proportional to 145,276 and 316,284

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Solution

The third proportional to 145,276 and 316,284 is: 688,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,276 : 316,284 = 316,284 : x
  2. Step 2: Convert to fraction form
    145,276/316,284 = 316,284/x
  3. Step 3: Cross multiply
    145,276x = 316,284 × 316,284
  4. Step 4: Simplify right side
    145,276x = 100,035,568,656
  5. Step 5: Solve for x
    x = 100,035,568,656/145,276
  6. Step 6: Final answer
    x = 688,589.78

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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.