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Finding the Third Proportional to 145,789,148 and 321,294,768

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Solution

The third proportional to 145,789,148 and 321,294,768 is: 708,079,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,789,148 : 321,294,768 = 321,294,768 : x
  2. Step 2: Convert to fraction form
    145,789,148/321,294,768 = 321,294,768/x
  3. Step 3: Cross multiply
    145,789,148x = 321,294,768 × 321,294,768
  4. Step 4: Simplify right side
    145,789,148x = 103,230,327,944,173,824
  5. Step 5: Solve for x
    x = 103,230,327,944,173,824/145,789,148
  6. Step 6: Final answer
    x = 708,079,643.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.