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Finding the Third Proportional to 356,498 and 742,390

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Solution

The third proportional to 356,498 and 742,390 is: 1,545,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,498 : 742,390 = 742,390 : x
  2. Step 2: Convert to fraction form
    356,498/742,390 = 742,390/x
  3. Step 3: Cross multiply
    356,498x = 742,390 × 742,390
  4. Step 4: Simplify right side
    356,498x = 551,142,912,100
  5. Step 5: Solve for x
    x = 551,142,912,100/356,498
  6. Step 6: Final answer
    x = 1,545,991.60

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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.