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Finding the Third Proportional to 147,780 and 316,564

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Solution

The third proportional to 147,780 and 316,564 is: 678,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,780 : 316,564 = 316,564 : x
  2. Step 2: Convert to fraction form
    147,780/316,564 = 316,564/x
  3. Step 3: Cross multiply
    147,780x = 316,564 × 316,564
  4. Step 4: Simplify right side
    147,780x = 100,212,766,096
  5. Step 5: Solve for x
    x = 100,212,766,096/147,780
  6. Step 6: Final answer
    x = 678,121.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.