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Finding the Third Proportional to 454,815 and 711,342

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Solution

The third proportional to 454,815 and 711,342 is: 1,112,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,815 : 711,342 = 711,342 : x
  2. Step 2: Convert to fraction form
    454,815/711,342 = 711,342/x
  3. Step 3: Cross multiply
    454,815x = 711,342 × 711,342
  4. Step 4: Simplify right side
    454,815x = 506,007,440,964
  5. Step 5: Solve for x
    x = 506,007,440,964/454,815
  6. Step 6: Final answer
    x = 1,112,556.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.