Finding the Third Proportional to 832,461,831,768 and 1,324,610,423,010
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Solution
The third proportional to 832,461,831,768 and 1,324,610,423,010 is: 2,107,715,580,208.99
Step by Step Solution
- Step 1: Write the proportion equation
832,461,831,768 : 1,324,610,423,010 = 1,324,610,423,010 : x - Step 2: Convert to fraction form
832,461,831,768/1,324,610,423,010 = 1,324,610,423,010/x - Step 3: Cross multiply
832,461,831,768x = 1,324,610,423,010 × 1,324,610,423,010 - Step 4: Simplify right side
832,461,831,768x = 1,754,592,772,746,731,031,887,872 - Step 5: Solve for x
x = 1,754,592,772,746,731,031,887,872/832,461,831,768 - Step 6: Final answer
x = 2,107,715,580,208.99
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.