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Finding the Third Proportional to 145,274 and 316,281

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Solution

The third proportional to 145,274 and 316,281 is: 688,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,274 : 316,281 = 316,281 : x
  2. Step 2: Convert to fraction form
    145,274/316,281 = 316,281/x
  3. Step 3: Cross multiply
    145,274x = 316,281 × 316,281
  4. Step 4: Simplify right side
    145,274x = 100,033,670,961
  5. Step 5: Solve for x
    x = 100,033,670,961/145,274
  6. Step 6: Final answer
    x = 688,586.20

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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.