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Finding the Third Proportional to 315,306 and 453,276

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Solution

The third proportional to 315,306 and 453,276 is: 651,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,306 : 453,276 = 453,276 : x
  2. Step 2: Convert to fraction form
    315,306/453,276 = 453,276/x
  3. Step 3: Cross multiply
    315,306x = 453,276 × 453,276
  4. Step 4: Simplify right side
    315,306x = 205,459,132,176
  5. Step 5: Solve for x
    x = 205,459,132,176/315,306
  6. Step 6: Final answer
    x = 651,618.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.