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Finding the Third Proportional to 703,428 and 1,431,715

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Solution

The third proportional to 703,428 and 1,431,715 is: 2,914,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,428 : 1,431,715 = 1,431,715 : x
  2. Step 2: Convert to fraction form
    703,428/1,431,715 = 1,431,715/x
  3. Step 3: Cross multiply
    703,428x = 1,431,715 × 1,431,715
  4. Step 4: Simplify right side
    703,428x = 2,049,807,841,225
  5. Step 5: Solve for x
    x = 2,049,807,841,225/703,428
  6. Step 6: Final answer
    x = 2,914,026.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.