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Finding the Third Proportional to 357,146 and 540,330

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Solution

The third proportional to 357,146 and 540,330 is: 817,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,146 : 540,330 = 540,330 : x
  2. Step 2: Convert to fraction form
    357,146/540,330 = 540,330/x
  3. Step 3: Cross multiply
    357,146x = 540,330 × 540,330
  4. Step 4: Simplify right side
    357,146x = 291,956,508,900
  5. Step 5: Solve for x
    x = 291,956,508,900/357,146
  6. Step 6: Final answer
    x = 817,471.03

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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.