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Finding the Third Proportional to 686,907 and 1,050,813

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Solution

The third proportional to 686,907 and 1,050,813 is: 1,607,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,907 : 1,050,813 = 1,050,813 : x
  2. Step 2: Convert to fraction form
    686,907/1,050,813 = 1,050,813/x
  3. Step 3: Cross multiply
    686,907x = 1,050,813 × 1,050,813
  4. Step 4: Simplify right side
    686,907x = 1,104,207,960,969
  5. Step 5: Solve for x
    x = 1,104,207,960,969/686,907
  6. Step 6: Final answer
    x = 1,607,507.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.