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Finding the Third Proportional to 455,054 and 612,595

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Solution

The third proportional to 455,054 and 612,595 is: 824,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,054 : 612,595 = 612,595 : x
  2. Step 2: Convert to fraction form
    455,054/612,595 = 612,595/x
  3. Step 3: Cross multiply
    455,054x = 612,595 × 612,595
  4. Step 4: Simplify right side
    455,054x = 375,272,634,025
  5. Step 5: Solve for x
    x = 375,272,634,025/455,054
  6. Step 6: Final answer
    x = 824,677.15

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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.