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Finding the Third Proportional to 309,712 and 685,754

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Solution

The third proportional to 309,712 and 685,754 is: 1,518,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,712 : 685,754 = 685,754 : x
  2. Step 2: Convert to fraction form
    309,712/685,754 = 685,754/x
  3. Step 3: Cross multiply
    309,712x = 685,754 × 685,754
  4. Step 4: Simplify right side
    309,712x = 470,258,548,516
  5. Step 5: Solve for x
    x = 470,258,548,516/309,712
  6. Step 6: Final answer
    x = 1,518,373.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.