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Finding the Third Proportional to 277,820 and 420,605

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Solution

The third proportional to 277,820 and 420,605 is: 636,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,820 : 420,605 = 420,605 : x
  2. Step 2: Convert to fraction form
    277,820/420,605 = 420,605/x
  3. Step 3: Cross multiply
    277,820x = 420,605 × 420,605
  4. Step 4: Simplify right side
    277,820x = 176,908,566,025
  5. Step 5: Solve for x
    x = 176,908,566,025/277,820
  6. Step 6: Final answer
    x = 636,774.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.