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Finding the Third Proportional to 420,294 and 899,628

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Solution

The third proportional to 420,294 and 899,628 is: 1,925,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,294 : 899,628 = 899,628 : x
  2. Step 2: Convert to fraction form
    420,294/899,628 = 899,628/x
  3. Step 3: Cross multiply
    420,294x = 899,628 × 899,628
  4. Step 4: Simplify right side
    420,294x = 809,330,538,384
  5. Step 5: Solve for x
    x = 809,330,538,384/420,294
  6. Step 6: Final answer
    x = 1,925,629.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.