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Finding the Third Proportional to 258,303,928 and 397,565,964

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Solution

The third proportional to 258,303,928 and 397,565,964 is: 611,909,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,303,928 : 397,565,964 = 397,565,964 : x
  2. Step 2: Convert to fraction form
    258,303,928/397,565,964 = 397,565,964/x
  3. Step 3: Cross multiply
    258,303,928x = 397,565,964 × 397,565,964
  4. Step 4: Simplify right side
    258,303,928x = 158,058,695,731,249,280
  5. Step 5: Solve for x
    x = 158,058,695,731,249,280/258,303,928
  6. Step 6: Final answer
    x = 611,909,764.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.