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Finding the Third Proportional to 181,421,155.50 and 280,151,949

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Solution

The third proportional to 181,421,155.50 and 280,151,949 is: 432,612,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,421,155.50 : 280,151,949 = 280,151,949 : x
  2. Step 2: Convert to fraction form
    181,421,155.50/280,151,949 = 280,151,949/x
  3. Step 3: Cross multiply
    181,421,155.50x = 280,151,949 × 280,151,949
  4. Step 4: Simplify right side
    181,421,155.50x = 78,485,114,528,498,608
  5. Step 5: Solve for x
    x = 78,485,114,528,498,608/181,421,155.50
  6. Step 6: Final answer
    x = 432,612,802.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.