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Finding the Third Proportional to 455,088 and 612,636

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Solution

The third proportional to 455,088 and 612,636 is: 824,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,088 : 612,636 = 612,636 : x
  2. Step 2: Convert to fraction form
    455,088/612,636 = 612,636/x
  3. Step 3: Cross multiply
    455,088x = 612,636 × 612,636
  4. Step 4: Simplify right side
    455,088x = 375,322,868,496
  5. Step 5: Solve for x
    x = 375,322,868,496/455,088
  6. Step 6: Final answer
    x = 824,725.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.