Finding the Third Proportional to 509,787,983.81 and 787,201,800.75
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Solution
The third proportional to 509,787,983.81 and 787,201,800.75 is: 1,215,577,249.33
Step by Step Solution
- Step 1: Write the proportion equation
509,787,983.81 : 787,201,800.75 = 787,201,800.75 : x - Step 2: Convert to fraction form
509,787,983.81/787,201,800.75 = 787,201,800.75/x - Step 3: Cross multiply
509,787,983.81x = 787,201,800.75 × 787,201,800.75 - Step 4: Simplify right side
509,787,983.81x = 619,686,675,104,042,752 - Step 5: Solve for x
x = 619,686,675,104,042,752/509,787,983.81 - Step 6: Final answer
x = 1,215,577,249.33
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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.