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Finding the Third Proportional to 423,549 and 621,194

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Solution

The third proportional to 423,549 and 621,194 is: 911,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,549 : 621,194 = 621,194 : x
  2. Step 2: Convert to fraction form
    423,549/621,194 = 621,194/x
  3. Step 3: Cross multiply
    423,549x = 621,194 × 621,194
  4. Step 4: Simplify right side
    423,549x = 385,881,985,636
  5. Step 5: Solve for x
    x = 385,881,985,636/423,549
  6. Step 6: Final answer
    x = 911,068.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.