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Finding the Third Proportional to 78,118,173 and 167,994,477

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Solution

The third proportional to 78,118,173 and 167,994,477 is: 361,275,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,118,173 : 167,994,477 = 167,994,477 : x
  2. Step 2: Convert to fraction form
    78,118,173/167,994,477 = 167,994,477/x
  3. Step 3: Cross multiply
    78,118,173x = 167,994,477 × 167,994,477
  4. Step 4: Simplify right side
    78,118,173x = 28,222,144,302,503,528
  5. Step 5: Solve for x
    x = 28,222,144,302,503,528/78,118,173
  6. Step 6: Final answer
    x = 361,275,017.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.