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Finding the Third Proportional to 309,376 and 678,528

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Solution

The third proportional to 309,376 and 678,528 is: 1,488,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,376 : 678,528 = 678,528 : x
  2. Step 2: Convert to fraction form
    309,376/678,528 = 678,528/x
  3. Step 3: Cross multiply
    309,376x = 678,528 × 678,528
  4. Step 4: Simplify right side
    309,376x = 460,400,246,784
  5. Step 5: Solve for x
    x = 460,400,246,784/309,376
  6. Step 6: Final answer
    x = 1,488,157.60

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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.