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Finding the Third Proportional to 420,563,993 and 920,410,462

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Solution

The third proportional to 420,563,993 and 920,410,462 is: 2,014,331,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,563,993 : 920,410,462 = 920,410,462 : x
  2. Step 2: Convert to fraction form
    420,563,993/920,410,462 = 920,410,462/x
  3. Step 3: Cross multiply
    420,563,993x = 920,410,462 × 920,410,462
  4. Step 4: Simplify right side
    420,563,993x = 847,155,418,559,053,440
  5. Step 5: Solve for x
    x = 847,155,418,559,053,440/420,563,993
  6. Step 6: Final answer
    x = 2,014,331,784.60

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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.