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Finding the Third Proportional to 358,762 and 780,584

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Solution

The third proportional to 358,762 and 780,584 is: 1,698,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,762 : 780,584 = 780,584 : x
  2. Step 2: Convert to fraction form
    358,762/780,584 = 780,584/x
  3. Step 3: Cross multiply
    358,762x = 780,584 × 780,584
  4. Step 4: Simplify right side
    358,762x = 609,311,381,056
  5. Step 5: Solve for x
    x = 609,311,381,056/358,762
  6. Step 6: Final answer
    x = 1,698,372.13

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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.