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Finding the Third Proportional to 260,129,009.25 and 380,426,250.38

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Solution

The third proportional to 260,129,009.25 and 380,426,250.38 is: 556,355,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,129,009.25 : 380,426,250.38 = 380,426,250.38 : x
  2. Step 2: Convert to fraction form
    260,129,009.25/380,426,250.38 = 380,426,250.38/x
  3. Step 3: Cross multiply
    260,129,009.25x = 380,426,250.38 × 380,426,250.38
  4. Step 4: Simplify right side
    260,129,009.25x = 144,724,131,974,382,176
  5. Step 5: Solve for x
    x = 144,724,131,974,382,176/260,129,009.25
  6. Step 6: Final answer
    x = 556,355,219.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.