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Finding the Third Proportional to 358,627.50 and 780,343.88

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Solution

The third proportional to 358,627.50 and 780,343.88 is: 1,697,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,627.50 : 780,343.88 = 780,343.88 : x
  2. Step 2: Convert to fraction form
    358,627.50/780,343.88 = 780,343.88/x
  3. Step 3: Cross multiply
    358,627.50x = 780,343.88 × 780,343.88
  4. Step 4: Simplify right side
    358,627.50x = 608,936,563,250.02
  5. Step 5: Solve for x
    x = 608,936,563,250.02/358,627.50
  6. Step 6: Final answer
    x = 1,697,963.94

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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.