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Finding the Third Proportional to 78,376,693.50 and 109,622,868.75

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Solution

The third proportional to 78,376,693.50 and 109,622,868.75 is: 153,325,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,376,693.50 : 109,622,868.75 = 109,622,868.75 : x
  2. Step 2: Convert to fraction form
    78,376,693.50/109,622,868.75 = 109,622,868.75/x
  3. Step 3: Cross multiply
    78,376,693.50x = 109,622,868.75 × 109,622,868.75
  4. Step 4: Simplify right side
    78,376,693.50x = 12,017,173,352,979,726
  5. Step 5: Solve for x
    x = 12,017,173,352,979,726/78,376,693.50
  6. Step 6: Final answer
    x = 153,325,852.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.