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Finding the Third Proportional to 681,528 and 1,069,206

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Solution

The third proportional to 681,528 and 1,069,206 is: 1,677,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,528 : 1,069,206 = 1,069,206 : x
  2. Step 2: Convert to fraction form
    681,528/1,069,206 = 1,069,206/x
  3. Step 3: Cross multiply
    681,528x = 1,069,206 × 1,069,206
  4. Step 4: Simplify right side
    681,528x = 1,143,201,470,436
  5. Step 5: Solve for x
    x = 1,143,201,470,436/681,528
  6. Step 6: Final answer
    x = 1,677,409.40

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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.