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Finding the Third Proportional to 314,176 and 646,784

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Solution

The third proportional to 314,176 and 646,784 is: 1,331,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,176 : 646,784 = 646,784 : x
  2. Step 2: Convert to fraction form
    314,176/646,784 = 646,784/x
  3. Step 3: Cross multiply
    314,176x = 646,784 × 646,784
  4. Step 4: Simplify right side
    314,176x = 418,329,542,656
  5. Step 5: Solve for x
    x = 418,329,542,656/314,176
  6. Step 6: Final answer
    x = 1,331,513.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.