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Finding the Third Proportional to 685,724 and 1,497,929

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Solution

The third proportional to 685,724 and 1,497,929 is: 3,272,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,724 : 1,497,929 = 1,497,929 : x
  2. Step 2: Convert to fraction form
    685,724/1,497,929 = 1,497,929/x
  3. Step 3: Cross multiply
    685,724x = 1,497,929 × 1,497,929
  4. Step 4: Simplify right side
    685,724x = 2,243,791,289,041
  5. Step 5: Solve for x
    x = 2,243,791,289,041/685,724
  6. Step 6: Final answer
    x = 3,272,149.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.