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Finding the Third Proportional to 356,324 and 742,132

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Solution

The third proportional to 356,324 and 742,132 is: 1,545,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,324 : 742,132 = 742,132 : x
  2. Step 2: Convert to fraction form
    356,324/742,132 = 742,132/x
  3. Step 3: Cross multiply
    356,324x = 742,132 × 742,132
  4. Step 4: Simplify right side
    356,324x = 550,759,905,424
  5. Step 5: Solve for x
    x = 550,759,905,424/356,324
  6. Step 6: Final answer
    x = 1,545,671.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.