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Finding the Third Proportional to 301,412 and 455,998

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Solution

The third proportional to 301,412 and 455,998 is: 689,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,412 : 455,998 = 455,998 : x
  2. Step 2: Convert to fraction form
    301,412/455,998 = 455,998/x
  3. Step 3: Cross multiply
    301,412x = 455,998 × 455,998
  4. Step 4: Simplify right side
    301,412x = 207,934,176,004
  5. Step 5: Solve for x
    x = 207,934,176,004/301,412
  6. Step 6: Final answer
    x = 689,866.95

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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.