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Finding the Third Proportional to 278,152 and 610,430

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Solution

The third proportional to 278,152 and 610,430 is: 1,339,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,152 : 610,430 = 610,430 : x
  2. Step 2: Convert to fraction form
    278,152/610,430 = 610,430/x
  3. Step 3: Cross multiply
    278,152x = 610,430 × 610,430
  4. Step 4: Simplify right side
    278,152x = 372,624,784,900
  5. Step 5: Solve for x
    x = 372,624,784,900/278,152
  6. Step 6: Final answer
    x = 1,339,644.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.