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Finding the Third Proportional to 685,557 and 1,042,929

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Solution

The third proportional to 685,557 and 1,042,929 is: 1,586,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,557 : 1,042,929 = 1,042,929 : x
  2. Step 2: Convert to fraction form
    685,557/1,042,929 = 1,042,929/x
  3. Step 3: Cross multiply
    685,557x = 1,042,929 × 1,042,929
  4. Step 4: Simplify right side
    685,557x = 1,087,700,899,041
  5. Step 5: Solve for x
    x = 1,087,700,899,041/685,557
  6. Step 6: Final answer
    x = 1,586,594.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.