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Finding the Third Proportional to 225,373,140 and 489,542,985

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Solution

The third proportional to 225,373,140 and 489,542,985 is: 1,063,358,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,373,140 : 489,542,985 = 489,542,985 : x
  2. Step 2: Convert to fraction form
    225,373,140/489,542,985 = 489,542,985/x
  3. Step 3: Cross multiply
    225,373,140x = 489,542,985 × 489,542,985
  4. Step 4: Simplify right side
    225,373,140x = 239,652,334,162,710,240
  5. Step 5: Solve for x
    x = 239,652,334,162,710,240/225,373,140
  6. Step 6: Final answer
    x = 1,063,358,012.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.