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Finding the Third Proportional to 356,311 and 742,106

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Solution

The third proportional to 356,311 and 742,106 is: 1,545,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,311 : 742,106 = 742,106 : x
  2. Step 2: Convert to fraction form
    356,311/742,106 = 742,106/x
  3. Step 3: Cross multiply
    356,311x = 742,106 × 742,106
  4. Step 4: Simplify right side
    356,311x = 550,721,315,236
  5. Step 5: Solve for x
    x = 550,721,315,236/356,311
  6. Step 6: Final answer
    x = 1,545,619.74

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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.