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Finding the Third Proportional to 356,312 and 742,107

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Solution

The third proportional to 356,312 and 742,107 is: 1,545,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,312 : 742,107 = 742,107 : x
  2. Step 2: Convert to fraction form
    356,312/742,107 = 742,107/x
  3. Step 3: Cross multiply
    356,312x = 742,107 × 742,107
  4. Step 4: Simplify right side
    356,312x = 550,722,799,449
  5. Step 5: Solve for x
    x = 550,722,799,449/356,312
  6. Step 6: Final answer
    x = 1,545,619.57

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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.