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Finding the Third Proportional to 815,430 and 1,766,940

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Solution

The third proportional to 815,430 and 1,766,940 is: 3,828,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,430 : 1,766,940 = 1,766,940 : x
  2. Step 2: Convert to fraction form
    815,430/1,766,940 = 1,766,940/x
  3. Step 3: Cross multiply
    815,430x = 1,766,940 × 1,766,940
  4. Step 4: Simplify right side
    815,430x = 3,122,076,963,600
  5. Step 5: Solve for x
    x = 3,122,076,963,600/815,430
  6. Step 6: Final answer
    x = 3,828,749.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.