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Finding the Third Proportional to 72,555,980 and 157,866,322

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Solution

The third proportional to 72,555,980 and 157,866,322 is: 343,483,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,555,980 : 157,866,322 = 157,866,322 : x
  2. Step 2: Convert to fraction form
    72,555,980/157,866,322 = 157,866,322/x
  3. Step 3: Cross multiply
    72,555,980x = 157,866,322 × 157,866,322
  4. Step 4: Simplify right side
    72,555,980x = 24,921,775,621,807,684
  5. Step 5: Solve for x
    x = 24,921,775,621,807,684/72,555,980
  6. Step 6: Final answer
    x = 343,483,412.69

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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.