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Finding the Third Proportional to 180,345,816 and 393,895,617

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Solution

The third proportional to 180,345,816 and 393,895,617 is: 860,312,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,345,816 : 393,895,617 = 393,895,617 : x
  2. Step 2: Convert to fraction form
    180,345,816/393,895,617 = 393,895,617/x
  3. Step 3: Cross multiply
    180,345,816x = 393,895,617 × 393,895,617
  4. Step 4: Simplify right side
    180,345,816x = 155,153,757,091,810,688
  5. Step 5: Solve for x
    x = 155,153,757,091,810,688/180,345,816
  6. Step 6: Final answer
    x = 860,312,484.83

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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.