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Finding the Third Proportional to 301,368 and 455,109

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Solution

The third proportional to 301,368 and 455,109 is: 687,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,368 : 455,109 = 455,109 : x
  2. Step 2: Convert to fraction form
    301,368/455,109 = 455,109/x
  3. Step 3: Cross multiply
    301,368x = 455,109 × 455,109
  4. Step 4: Simplify right side
    301,368x = 207,124,201,881
  5. Step 5: Solve for x
    x = 207,124,201,881/301,368
  6. Step 6: Final answer
    x = 687,280.01

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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.