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Finding the Third Proportional to 145,453,074 and 313,979,430

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Solution

The third proportional to 145,453,074 and 313,979,430 is: 677,765,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,453,074 : 313,979,430 = 313,979,430 : x
  2. Step 2: Convert to fraction form
    145,453,074/313,979,430 = 313,979,430/x
  3. Step 3: Cross multiply
    145,453,074x = 313,979,430 × 313,979,430
  4. Step 4: Simplify right side
    145,453,074x = 98,583,082,463,124,896
  5. Step 5: Solve for x
    x = 98,583,082,463,124,896/145,453,074
  6. Step 6: Final answer
    x = 677,765,548.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.