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Finding the Third Proportional to 354,670 and 788,072

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Solution

The third proportional to 354,670 and 788,072 is: 1,751,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,670 : 788,072 = 788,072 : x
  2. Step 2: Convert to fraction form
    354,670/788,072 = 788,072/x
  3. Step 3: Cross multiply
    354,670x = 788,072 × 788,072
  4. Step 4: Simplify right side
    354,670x = 621,057,477,184
  5. Step 5: Solve for x
    x = 621,057,477,184/354,670
  6. Step 6: Final answer
    x = 1,751,085.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.