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Finding the Third Proportional to 350,278,458.75 and 492,710,370.75

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Solution

The third proportional to 350,278,458.75 and 492,710,370.75 is: 693,058,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,278,458.75 : 492,710,370.75 = 492,710,370.75 : x
  2. Step 2: Convert to fraction form
    350,278,458.75/492,710,370.75 = 492,710,370.75/x
  3. Step 3: Cross multiply
    350,278,458.75x = 492,710,370.75 × 492,710,370.75
  4. Step 4: Simplify right side
    350,278,458.75x = 242,763,509,444,602,464
  5. Step 5: Solve for x
    x = 242,763,509,444,602,464/350,278,458.75
  6. Step 6: Final answer
    x = 693,058,632.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.