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Finding the Third Proportional to 254,430 and 374,217

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Solution

The third proportional to 254,430 and 374,217 is: 550,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,430 : 374,217 = 374,217 : x
  2. Step 2: Convert to fraction form
    254,430/374,217 = 374,217/x
  3. Step 3: Cross multiply
    254,430x = 374,217 × 374,217
  4. Step 4: Simplify right side
    254,430x = 140,038,363,089
  5. Step 5: Solve for x
    x = 140,038,363,089/254,430
  6. Step 6: Final answer
    x = 550,400.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.