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Finding the Third Proportional to 189,484,272 and 285,626,088

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Solution

The third proportional to 189,484,272 and 285,626,088 is: 430,548,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,484,272 : 285,626,088 = 285,626,088 : x
  2. Step 2: Convert to fraction form
    189,484,272/285,626,088 = 285,626,088/x
  3. Step 3: Cross multiply
    189,484,272x = 285,626,088 × 285,626,088
  4. Step 4: Simplify right side
    189,484,272x = 81,582,262,146,183,744
  5. Step 5: Solve for x
    x = 81,582,262,146,183,744/189,484,272
  6. Step 6: Final answer
    x = 430,548,991.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.