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Finding the Third Proportional to 80,057,712 and 120,939,547.50

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Solution

The third proportional to 80,057,712 and 120,939,547.50 is: 182,697,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,057,712 : 120,939,547.50 = 120,939,547.50 : x
  2. Step 2: Convert to fraction form
    80,057,712/120,939,547.50 = 120,939,547.50/x
  3. Step 3: Cross multiply
    80,057,712x = 120,939,547.50 × 120,939,547.50
  4. Step 4: Simplify right side
    80,057,712x = 14,626,374,149,504,756
  5. Step 5: Solve for x
    x = 14,626,374,149,504,756/80,057,712
  6. Step 6: Final answer
    x = 182,697,878.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.