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Finding the Third Proportional to 329,628 and 711,816

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Solution

The third proportional to 329,628 and 711,816 is: 1,537,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,628 : 711,816 = 711,816 : x
  2. Step 2: Convert to fraction form
    329,628/711,816 = 711,816/x
  3. Step 3: Cross multiply
    329,628x = 711,816 × 711,816
  4. Step 4: Simplify right side
    329,628x = 506,682,017,856
  5. Step 5: Solve for x
    x = 506,682,017,856/329,628
  6. Step 6: Final answer
    x = 1,537,132.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.