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Finding the Third Proportional to 456,168,892.50 and 684,268,242.75

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Solution

The third proportional to 456,168,892.50 and 684,268,242.75 is: 1,026,424,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,168,892.50 : 684,268,242.75 = 684,268,242.75 : x
  2. Step 2: Convert to fraction form
    456,168,892.50/684,268,242.75 = 684,268,242.75/x
  3. Step 3: Cross multiply
    456,168,892.50x = 684,268,242.75 × 684,268,242.75
  4. Step 4: Simplify right side
    456,168,892.50x = 468,223,028,036,172,928
  5. Step 5: Solve for x
    x = 468,223,028,036,172,928/456,168,892.50
  6. Step 6: Final answer
    x = 1,026,424,720.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.