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Finding the Third Proportional to 142,757 and 317,430

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Solution

The third proportional to 142,757 and 317,430 is: 705,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,757 : 317,430 = 317,430 : x
  2. Step 2: Convert to fraction form
    142,757/317,430 = 317,430/x
  3. Step 3: Cross multiply
    142,757x = 317,430 × 317,430
  4. Step 4: Simplify right side
    142,757x = 100,761,804,900
  5. Step 5: Solve for x
    x = 100,761,804,900/142,757
  6. Step 6: Final answer
    x = 705,827.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.