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Finding the Third Proportional to 357,864.75 and 780,036.75

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Solution

The third proportional to 357,864.75 and 780,036.75 is: 1,700,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,864.75 : 780,036.75 = 780,036.75 : x
  2. Step 2: Convert to fraction form
    357,864.75/780,036.75 = 780,036.75/x
  3. Step 3: Cross multiply
    357,864.75x = 780,036.75 × 780,036.75
  4. Step 4: Simplify right side
    357,864.75x = 608,457,331,350.56
  5. Step 5: Solve for x
    x = 608,457,331,350.56/357,864.75
  6. Step 6: Final answer
    x = 1,700,243.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.