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Finding the Third Proportional to 743,683 and 1,117,221

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Solution

The third proportional to 743,683 and 1,117,221 is: 1,678,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,683 : 1,117,221 = 1,117,221 : x
  2. Step 2: Convert to fraction form
    743,683/1,117,221 = 1,117,221/x
  3. Step 3: Cross multiply
    743,683x = 1,117,221 × 1,117,221
  4. Step 4: Simplify right side
    743,683x = 1,248,182,762,841
  5. Step 5: Solve for x
    x = 1,248,182,762,841/743,683
  6. Step 6: Final answer
    x = 1,678,380.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.