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Finding the Third Proportional to 438,993,390.75 and 646,364,512.25

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Solution

The third proportional to 438,993,390.75 and 646,364,512.25 is: 951,693,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,993,390.75 : 646,364,512.25 = 646,364,512.25 : x
  2. Step 2: Convert to fraction form
    438,993,390.75/646,364,512.25 = 646,364,512.25/x
  3. Step 3: Cross multiply
    438,993,390.75x = 646,364,512.25 × 646,364,512.25
  4. Step 4: Simplify right side
    438,993,390.75x = 417,787,082,696,180,416
  5. Step 5: Solve for x
    x = 417,787,082,696,180,416/438,993,390.75
  6. Step 6: Final answer
    x = 951,693,331.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.