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Finding the Third Proportional to 1,577,463 and 3,431,312

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Solution

The third proportional to 1,577,463 and 3,431,312 is: 7,463,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,463 : 3,431,312 = 3,431,312 : x
  2. Step 2: Convert to fraction form
    1,577,463/3,431,312 = 3,431,312/x
  3. Step 3: Cross multiply
    1,577,463x = 3,431,312 × 3,431,312
  4. Step 4: Simplify right side
    1,577,463x = 11,773,902,041,344
  5. Step 5: Solve for x
    x = 11,773,902,041,344/1,577,463
  6. Step 6: Final answer
    x = 7,463,821.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.