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Finding the Third Proportional to 438,232 and 685,026

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Solution

The third proportional to 438,232 and 685,026 is: 1,070,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,232 : 685,026 = 685,026 : x
  2. Step 2: Convert to fraction form
    438,232/685,026 = 685,026/x
  3. Step 3: Cross multiply
    438,232x = 685,026 × 685,026
  4. Step 4: Simplify right side
    438,232x = 469,260,620,676
  5. Step 5: Solve for x
    x = 469,260,620,676/438,232
  6. Step 6: Final answer
    x = 1,070,804.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.