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Finding the Third Proportional to 143,291,938 and 310,912,062

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Solution

The third proportional to 143,291,938 and 310,912,062 is: 674,610,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,291,938 : 310,912,062 = 310,912,062 : x
  2. Step 2: Convert to fraction form
    143,291,938/310,912,062 = 310,912,062/x
  3. Step 3: Cross multiply
    143,291,938x = 310,912,062 × 310,912,062
  4. Step 4: Simplify right side
    143,291,938x = 96,666,310,297,091,840
  5. Step 5: Solve for x
    x = 96,666,310,297,091,840/143,291,938
  6. Step 6: Final answer
    x = 674,610,949.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.