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Finding the Third Proportional to 292,000 and 621,638

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Solution

The third proportional to 292,000 and 621,638 is: 1,323,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,000 : 621,638 = 621,638 : x
  2. Step 2: Convert to fraction form
    292,000/621,638 = 621,638/x
  3. Step 3: Cross multiply
    292,000x = 621,638 × 621,638
  4. Step 4: Simplify right side
    292,000x = 386,433,803,044
  5. Step 5: Solve for x
    x = 386,433,803,044/292,000
  6. Step 6: Final answer
    x = 1,323,403.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.