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Finding the Third Proportional to 180,345,808.13 and 393,895,602

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Solution

The third proportional to 180,345,808.13 and 393,895,602 is: 860,312,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,345,808.13 : 393,895,602 = 393,895,602 : x
  2. Step 2: Convert to fraction form
    180,345,808.13/393,895,602 = 393,895,602/x
  3. Step 3: Cross multiply
    180,345,808.13x = 393,895,602 × 393,895,602
  4. Step 4: Simplify right side
    180,345,808.13x = 155,153,745,274,942,400
  5. Step 5: Solve for x
    x = 155,153,745,274,942,400/180,345,808.13
  6. Step 6: Final answer
    x = 860,312,456.87

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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.