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Finding the Third Proportional to 358,750 and 780,558

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Solution

The third proportional to 358,750 and 780,558 is: 1,698,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,750 : 780,558 = 780,558 : x
  2. Step 2: Convert to fraction form
    358,750/780,558 = 780,558/x
  3. Step 3: Cross multiply
    358,750x = 780,558 × 780,558
  4. Step 4: Simplify right side
    358,750x = 609,270,791,364
  5. Step 5: Solve for x
    x = 609,270,791,364/358,750
  6. Step 6: Final answer
    x = 1,698,315.79

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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.