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Finding the Third Proportional to 329,356 and 708,646

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Solution

The third proportional to 329,356 and 708,646 is: 1,524,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,356 : 708,646 = 708,646 : x
  2. Step 2: Convert to fraction form
    329,356/708,646 = 708,646/x
  3. Step 3: Cross multiply
    329,356x = 708,646 × 708,646
  4. Step 4: Simplify right side
    329,356x = 502,179,153,316
  5. Step 5: Solve for x
    x = 502,179,153,316/329,356
  6. Step 6: Final answer
    x = 1,524,730.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.