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Finding the Third Proportional to 157,509 and 370,242

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Solution

The third proportional to 157,509 and 370,242 is: 870,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,509 : 370,242 = 370,242 : x
  2. Step 2: Convert to fraction form
    157,509/370,242 = 370,242/x
  3. Step 3: Cross multiply
    157,509x = 370,242 × 370,242
  4. Step 4: Simplify right side
    157,509x = 137,079,138,564
  5. Step 5: Solve for x
    x = 137,079,138,564/157,509
  6. Step 6: Final answer
    x = 870,294.01

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.