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Finding the Third Proportional to 142,235,651 and 310,314,945

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Solution

The third proportional to 142,235,651 and 310,314,945 is: 677,012,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,235,651 : 310,314,945 = 310,314,945 : x
  2. Step 2: Convert to fraction form
    142,235,651/310,314,945 = 310,314,945/x
  3. Step 3: Cross multiply
    142,235,651x = 310,314,945 × 310,314,945
  4. Step 4: Simplify right side
    142,235,651x = 96,295,365,090,353,024
  5. Step 5: Solve for x
    x = 96,295,365,090,353,024/142,235,651
  6. Step 6: Final answer
    x = 677,012,861.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.