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Finding the Third Proportional to 291,420 and 346,095

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Solution

The third proportional to 291,420 and 346,095 is: 411,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,420 : 346,095 = 346,095 : x
  2. Step 2: Convert to fraction form
    291,420/346,095 = 346,095/x
  3. Step 3: Cross multiply
    291,420x = 346,095 × 346,095
  4. Step 4: Simplify right side
    291,420x = 119,781,749,025
  5. Step 5: Solve for x
    x = 119,781,749,025/291,420
  6. Step 6: Final answer
    x = 411,027.89

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.