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Finding the Third Proportional to 356,328 and 742,137

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Solution

The third proportional to 356,328 and 742,137 is: 1,545,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,328 : 742,137 = 742,137 : x
  2. Step 2: Convert to fraction form
    356,328/742,137 = 742,137/x
  3. Step 3: Cross multiply
    356,328x = 742,137 × 742,137
  4. Step 4: Simplify right side
    356,328x = 550,767,326,769
  5. Step 5: Solve for x
    x = 550,767,326,769/356,328
  6. Step 6: Final answer
    x = 1,545,675.13

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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.