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Finding the Third Proportional to 358,956,740 and 780,806,200

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Solution

The third proportional to 358,956,740 and 780,806,200 is: 1,698,417,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,956,740 : 780,806,200 = 780,806,200 : x
  2. Step 2: Convert to fraction form
    358,956,740/780,806,200 = 780,806,200/x
  3. Step 3: Cross multiply
    358,956,740x = 780,806,200 × 780,806,200
  4. Step 4: Simplify right side
    358,956,740x = 609,658,321,958,439,936
  5. Step 5: Solve for x
    x = 609,658,321,958,439,936/358,956,740
  6. Step 6: Final answer
    x = 1,698,417,257.63

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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.