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Finding the Third Proportional to 438,225.19 and 685,017

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Solution

The third proportional to 438,225.19 and 685,017 is: 1,070,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,225.19 : 685,017 = 685,017 : x
  2. Step 2: Convert to fraction form
    438,225.19/685,017 = 685,017/x
  3. Step 3: Cross multiply
    438,225.19x = 685,017 × 685,017
  4. Step 4: Simplify right side
    438,225.19x = 469,248,290,289
  5. Step 5: Solve for x
    x = 469,248,290,289/438,225.19
  6. Step 6: Final answer
    x = 1,070,792.61

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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.