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Finding the Third Proportional to 431,700 and 675,729

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Solution

The third proportional to 431,700 and 675,729 is: 1,057,701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,700 : 675,729 = 675,729 : x
  2. Step 2: Convert to fraction form
    431,700/675,729 = 675,729/x
  3. Step 3: Cross multiply
    431,700x = 675,729 × 675,729
  4. Step 4: Simplify right side
    431,700x = 456,609,681,441
  5. Step 5: Solve for x
    x = 456,609,681,441/431,700
  6. Step 6: Final answer
    x = 1,057,701.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.