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Finding the Third Proportional to 321,312,228.62 and 699,666,836.43

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Solution

The third proportional to 321,312,228.62 and 699,666,836.43 is: 1,523,545,132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,312,228.62 : 699,666,836.43 = 699,666,836.43 : x
  2. Step 2: Convert to fraction form
    321,312,228.62/699,666,836.43 = 699,666,836.43/x
  3. Step 3: Cross multiply
    321,312,228.62x = 699,666,836.43 × 699,666,836.43
  4. Step 4: Simplify right side
    321,312,228.62x = 489,533,681,994,562,880
  5. Step 5: Solve for x
    x = 489,533,681,994,562,880/321,312,228.62
  6. Step 6: Final answer
    x = 1,523,545,132.69

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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.