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Finding the Third Proportional to 673,542 and 1,430,109

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Solution

The third proportional to 673,542 and 1,430,109 is: 3,036,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,542 : 1,430,109 = 1,430,109 : x
  2. Step 2: Convert to fraction form
    673,542/1,430,109 = 1,430,109/x
  3. Step 3: Cross multiply
    673,542x = 1,430,109 × 1,430,109
  4. Step 4: Simplify right side
    673,542x = 2,045,211,751,881
  5. Step 5: Solve for x
    x = 2,045,211,751,881/673,542
  6. Step 6: Final answer
    x = 3,036,502.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.