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Finding the Third Proportional to 357,120 and 540,288

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Solution

The third proportional to 357,120 and 540,288 is: 817,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,120 : 540,288 = 540,288 : x
  2. Step 2: Convert to fraction form
    357,120/540,288 = 540,288/x
  3. Step 3: Cross multiply
    357,120x = 540,288 × 540,288
  4. Step 4: Simplify right side
    357,120x = 291,911,122,944
  5. Step 5: Solve for x
    x = 291,911,122,944/357,120
  6. Step 6: Final answer
    x = 817,403.46

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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.