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Finding the Third Proportional to 815,480 and 1,765,358

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Solution

The third proportional to 815,480 and 1,765,358 is: 3,821,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,480 : 1,765,358 = 1,765,358 : x
  2. Step 2: Convert to fraction form
    815,480/1,765,358 = 1,765,358/x
  3. Step 3: Cross multiply
    815,480x = 1,765,358 × 1,765,358
  4. Step 4: Simplify right side
    815,480x = 3,116,488,868,164
  5. Step 5: Solve for x
    x = 3,116,488,868,164/815,480
  6. Step 6: Final answer
    x = 3,821,661.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.