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Finding the Third Proportional to 357,190 and 540,377

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Solution

The third proportional to 357,190 and 540,377 is: 817,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,190 : 540,377 = 540,377 : x
  2. Step 2: Convert to fraction form
    357,190/540,377 = 540,377/x
  3. Step 3: Cross multiply
    357,190x = 540,377 × 540,377
  4. Step 4: Simplify right side
    357,190x = 292,007,302,129
  5. Step 5: Solve for x
    x = 292,007,302,129/357,190
  6. Step 6: Final answer
    x = 817,512.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.