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Finding the Third Proportional to 282,720 and 433,140

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Solution

The third proportional to 282,720 and 433,140 is: 663,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,720 : 433,140 = 433,140 : x
  2. Step 2: Convert to fraction form
    282,720/433,140 = 433,140/x
  3. Step 3: Cross multiply
    282,720x = 433,140 × 433,140
  4. Step 4: Simplify right side
    282,720x = 187,610,259,600
  5. Step 5: Solve for x
    x = 187,610,259,600/282,720
  6. Step 6: Final answer
    x = 663,590.34

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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.