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Finding the Third Proportional to 358,958,640 and 780,810,544

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Solution

The third proportional to 358,958,640 and 780,810,544 is: 1,698,427,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,958,640 : 780,810,544 = 780,810,544 : x
  2. Step 2: Convert to fraction form
    358,958,640/780,810,544 = 780,810,544/x
  3. Step 3: Cross multiply
    358,958,640x = 780,810,544 × 780,810,544
  4. Step 4: Simplify right side
    358,958,640x = 609,665,105,621,575,936
  5. Step 5: Solve for x
    x = 609,665,105,621,575,936/358,958,640
  6. Step 6: Final answer
    x = 1,698,427,165.93

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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.