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Finding the Third Proportional to 909,467 and 1,980,397

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Solution

The third proportional to 909,467 and 1,980,397 is: 4,312,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,467 : 1,980,397 = 1,980,397 : x
  2. Step 2: Convert to fraction form
    909,467/1,980,397 = 1,980,397/x
  3. Step 3: Cross multiply
    909,467x = 1,980,397 × 1,980,397
  4. Step 4: Simplify right side
    909,467x = 3,921,972,277,609
  5. Step 5: Solve for x
    x = 3,921,972,277,609/909,467
  6. Step 6: Final answer
    x = 4,312,385.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.