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Finding the Third Proportional to 221,239,200 and 318,681,072

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Solution

The third proportional to 221,239,200 and 318,681,072 is: 459,039,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,239,200 : 318,681,072 = 318,681,072 : x
  2. Step 2: Convert to fraction form
    221,239,200/318,681,072 = 318,681,072/x
  3. Step 3: Cross multiply
    221,239,200x = 318,681,072 × 318,681,072
  4. Step 4: Simplify right side
    221,239,200x = 101,557,625,651,069,184
  5. Step 5: Solve for x
    x = 101,557,625,651,069,184/221,239,200
  6. Step 6: Final answer
    x = 459,039,924.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.