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Finding the Third Proportional to 357,144 and 540,324

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Solution

The third proportional to 357,144 and 540,324 is: 817,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,144 : 540,324 = 540,324 : x
  2. Step 2: Convert to fraction form
    357,144/540,324 = 540,324/x
  3. Step 3: Cross multiply
    357,144x = 540,324 × 540,324
  4. Step 4: Simplify right side
    357,144x = 291,950,024,976
  5. Step 5: Solve for x
    x = 291,950,024,976/357,144
  6. Step 6: Final answer
    x = 817,457.45

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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.