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Finding the Third Proportional to 157,788 and 346,221

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Solution

The third proportional to 157,788 and 346,221 is: 759,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,788 : 346,221 = 346,221 : x
  2. Step 2: Convert to fraction form
    157,788/346,221 = 346,221/x
  3. Step 3: Cross multiply
    157,788x = 346,221 × 346,221
  4. Step 4: Simplify right side
    157,788x = 119,868,980,841
  5. Step 5: Solve for x
    x = 119,868,980,841/157,788
  6. Step 6: Final answer
    x = 759,683.76

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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.