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Finding the Third Proportional to 1,142,523,819 and 1,578,708,367.50

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Solution

The third proportional to 1,142,523,819 and 1,578,708,367.50 is: 2,181,416,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,523,819 : 1,578,708,367.50 = 1,578,708,367.50 : x
  2. Step 2: Convert to fraction form
    1,142,523,819/1,578,708,367.50 = 1,578,708,367.50/x
  3. Step 3: Cross multiply
    1,142,523,819x = 1,578,708,367.50 × 1,578,708,367.50
  4. Step 4: Simplify right side
    1,142,523,819x = 2,492,320,109,614,515,200
  5. Step 5: Solve for x
    x = 2,492,320,109,614,515,200/1,142,523,819
  6. Step 6: Final answer
    x = 2,181,416,324.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.