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Finding the Third Proportional to 78,252,316 and 171,621,176

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Solution

The third proportional to 78,252,316 and 171,621,176 is: 376,395,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,252,316 : 171,621,176 = 171,621,176 : x
  2. Step 2: Convert to fraction form
    78,252,316/171,621,176 = 171,621,176/x
  3. Step 3: Cross multiply
    78,252,316x = 171,621,176 × 171,621,176
  4. Step 4: Simplify right side
    78,252,316x = 29,453,828,051,622,976
  5. Step 5: Solve for x
    x = 29,453,828,051,622,976/78,252,316
  6. Step 6: Final answer
    x = 376,395,607.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.