Finding the Third Proportional to 509,667,400.13 and 787,032,946.13
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Solution
The third proportional to 509,667,400.13 and 787,032,946.13 is: 1,215,343,296.70
Step by Step Solution
- Step 1: Write the proportion equation
509,667,400.13 : 787,032,946.13 = 787,032,946.13 : x - Step 2: Convert to fraction form
509,667,400.13/787,032,946.13 = 787,032,946.13/x - Step 3: Cross multiply
509,667,400.13x = 787,032,946.13 × 787,032,946.13 - Step 4: Simplify right side
509,667,400.13x = 619,420,858,286,197,120 - Step 5: Solve for x
x = 619,420,858,286,197,120/509,667,400.13 - Step 6: Final answer
x = 1,215,343,296.70
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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.