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Finding the Third Proportional to 685,442 and 1,054,275

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Solution

The third proportional to 685,442 and 1,054,275 is: 1,621,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,442 : 1,054,275 = 1,054,275 : x
  2. Step 2: Convert to fraction form
    685,442/1,054,275 = 1,054,275/x
  3. Step 3: Cross multiply
    685,442x = 1,054,275 × 1,054,275
  4. Step 4: Simplify right side
    685,442x = 1,111,495,775,625
  5. Step 5: Solve for x
    x = 1,111,495,775,625/685,442
  6. Step 6: Final answer
    x = 1,621,575.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.