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Finding the Third Proportional to 259,740,893.25 and 389,953,301.63

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Solution

The third proportional to 259,740,893.25 and 389,953,301.63 is: 585,443,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,740,893.25 : 389,953,301.63 = 389,953,301.63 : x
  2. Step 2: Convert to fraction form
    259,740,893.25/389,953,301.63 = 389,953,301.63/x
  3. Step 3: Cross multiply
    259,740,893.25x = 389,953,301.63 × 389,953,301.63
  4. Step 4: Simplify right side
    259,740,893.25x = 152,063,577,448,238,240
  5. Step 5: Solve for x
    x = 152,063,577,448,238,240/259,740,893.25
  6. Step 6: Final answer
    x = 585,443,345.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.