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Finding the Third Proportional to 157,740 and 341,712

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Solution

The third proportional to 157,740 and 341,712 is: 740,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,740 : 341,712 = 341,712 : x
  2. Step 2: Convert to fraction form
    157,740/341,712 = 341,712/x
  3. Step 3: Cross multiply
    157,740x = 341,712 × 341,712
  4. Step 4: Simplify right side
    157,740x = 116,767,090,944
  5. Step 5: Solve for x
    x = 116,767,090,944/157,740
  6. Step 6: Final answer
    x = 740,250.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.