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Finding the Third Proportional to 420,830 and 609,132

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Solution

The third proportional to 420,830 and 609,132 is: 881,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,830 : 609,132 = 609,132 : x
  2. Step 2: Convert to fraction form
    420,830/609,132 = 609,132/x
  3. Step 3: Cross multiply
    420,830x = 609,132 × 609,132
  4. Step 4: Simplify right side
    420,830x = 371,041,793,424
  5. Step 5: Solve for x
    x = 371,041,793,424/420,830
  6. Step 6: Final answer
    x = 881,690.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.