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Finding the Third Proportional to 454,655 and 711,143

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Solution

The third proportional to 454,655 and 711,143 is: 1,112,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,655 : 711,143 = 711,143 : x
  2. Step 2: Convert to fraction form
    454,655/711,143 = 711,143/x
  3. Step 3: Cross multiply
    454,655x = 711,143 × 711,143
  4. Step 4: Simplify right side
    454,655x = 505,724,366,449
  5. Step 5: Solve for x
    x = 505,724,366,449/454,655
  6. Step 6: Final answer
    x = 1,112,325.54

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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.