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Finding the Third Proportional to 623,083 and 891,021

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Solution

The third proportional to 623,083 and 891,021 is: 1,274,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,083 : 891,021 = 891,021 : x
  2. Step 2: Convert to fraction form
    623,083/891,021 = 891,021/x
  3. Step 3: Cross multiply
    623,083x = 891,021 × 891,021
  4. Step 4: Simplify right side
    623,083x = 793,918,422,441
  5. Step 5: Solve for x
    x = 793,918,422,441/623,083
  6. Step 6: Final answer
    x = 1,274,177.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.