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Finding the Third Proportional to 158,509 and 346,407

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Solution

The third proportional to 158,509 and 346,407 is: 757,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,509 : 346,407 = 346,407 : x
  2. Step 2: Convert to fraction form
    158,509/346,407 = 346,407/x
  3. Step 3: Cross multiply
    158,509x = 346,407 × 346,407
  4. Step 4: Simplify right side
    158,509x = 119,997,809,649
  5. Step 5: Solve for x
    x = 119,997,809,649/158,509
  6. Step 6: Final answer
    x = 757,040.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.