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Finding the Third Proportional to 477,151,710 and 1,043,620,284

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Solution

The third proportional to 477,151,710 and 1,043,620,284 is: 2,282,593,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,151,710 : 1,043,620,284 = 1,043,620,284 : x
  2. Step 2: Convert to fraction form
    477,151,710/1,043,620,284 = 1,043,620,284/x
  3. Step 3: Cross multiply
    477,151,710x = 1,043,620,284 × 1,043,620,284
  4. Step 4: Simplify right side
    477,151,710x = 1,089,143,297,176,240,640
  5. Step 5: Solve for x
    x = 1,089,143,297,176,240,640/477,151,710
  6. Step 6: Final answer
    x = 2,282,593,301.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.