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Finding the Third Proportional to 157,710 and 340,692

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Solution

The third proportional to 157,710 and 340,692 is: 735,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,710 : 340,692 = 340,692 : x
  2. Step 2: Convert to fraction form
    157,710/340,692 = 340,692/x
  3. Step 3: Cross multiply
    157,710x = 340,692 × 340,692
  4. Step 4: Simplify right side
    157,710x = 116,071,038,864
  5. Step 5: Solve for x
    x = 116,071,038,864/157,710
  6. Step 6: Final answer
    x = 735,977.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.