Finding the Third Proportional to 638,708,128,264.12 and 1,374,288,138,309.40
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Solution
The third proportional to 638,708,128,264.12 and 1,374,288,138,309.40 is: 2,957,012,449,850.82
Step by Step Solution
- Step 1: Write the proportion equation
638,708,128,264.12 : 1,374,288,138,309.40 = 1,374,288,138,309.40 : x - Step 2: Convert to fraction form
638,708,128,264.12/1,374,288,138,309.40 = 1,374,288,138,309.40/x - Step 3: Cross multiply
638,708,128,264.12x = 1,374,288,138,309.40 × 1,374,288,138,309.40 - Step 4: Simplify right side
638,708,128,264.12x = 1,888,667,887,097,916,239,642,624 - Step 5: Solve for x
x = 1,888,667,887,097,916,239,642,624/638,708,128,264.12 - Step 6: Final answer
x = 2,957,012,449,850.82
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.