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Finding the Third Proportional to 309,390 and 645,564

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Solution

The third proportional to 309,390 and 645,564 is: 1,347,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,390 : 645,564 = 645,564 : x
  2. Step 2: Convert to fraction form
    309,390/645,564 = 645,564/x
  3. Step 3: Cross multiply
    309,390x = 645,564 × 645,564
  4. Step 4: Simplify right side
    309,390x = 416,752,878,096
  5. Step 5: Solve for x
    x = 416,752,878,096/309,390
  6. Step 6: Final answer
    x = 1,347,014.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.