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Finding the Third Proportional to 358,758 and 780,576

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Solution

The third proportional to 358,758 and 780,576 is: 1,698,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,758 : 780,576 = 780,576 : x
  2. Step 2: Convert to fraction form
    358,758/780,576 = 780,576/x
  3. Step 3: Cross multiply
    358,758x = 780,576 × 780,576
  4. Step 4: Simplify right side
    358,758x = 609,298,891,776
  5. Step 5: Solve for x
    x = 609,298,891,776/358,758
  6. Step 6: Final answer
    x = 1,698,356.25

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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.