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Finding the Third Proportional to 309,354 and 678,486

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Solution

The third proportional to 309,354 and 678,486 is: 1,488,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,354 : 678,486 = 678,486 : x
  2. Step 2: Convert to fraction form
    309,354/678,486 = 678,486/x
  3. Step 3: Cross multiply
    309,354x = 678,486 × 678,486
  4. Step 4: Simplify right side
    309,354x = 460,343,252,196
  5. Step 5: Solve for x
    x = 460,343,252,196/309,354
  6. Step 6: Final answer
    x = 1,488,079.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.