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Finding the Third Proportional to 72,175,310 and 170,320,816

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Solution

The third proportional to 72,175,310 and 170,320,816 is: 401,926,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,175,310 : 170,320,816 = 170,320,816 : x
  2. Step 2: Convert to fraction form
    72,175,310/170,320,816 = 170,320,816/x
  3. Step 3: Cross multiply
    72,175,310x = 170,320,816 × 170,320,816
  4. Step 4: Simplify right side
    72,175,310x = 29,009,180,362,905,856
  5. Step 5: Solve for x
    x = 29,009,180,362,905,856/72,175,310
  6. Step 6: Final answer
    x = 401,926,647.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.