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Finding the Third Proportional to 523,402 and 1,133,753

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Solution

The third proportional to 523,402 and 1,133,753 is: 2,455,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,402 : 1,133,753 = 1,133,753 : x
  2. Step 2: Convert to fraction form
    523,402/1,133,753 = 1,133,753/x
  3. Step 3: Cross multiply
    523,402x = 1,133,753 × 1,133,753
  4. Step 4: Simplify right side
    523,402x = 1,285,395,865,009
  5. Step 5: Solve for x
    x = 1,285,395,865,009/523,402
  6. Step 6: Final answer
    x = 2,455,848.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.