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Finding the Third Proportional to 145,699 and 317,035

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Solution

The third proportional to 145,699 and 317,035 is: 689,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,699 : 317,035 = 317,035 : x
  2. Step 2: Convert to fraction form
    145,699/317,035 = 317,035/x
  3. Step 3: Cross multiply
    145,699x = 317,035 × 317,035
  4. Step 4: Simplify right side
    145,699x = 100,511,191,225
  5. Step 5: Solve for x
    x = 100,511,191,225/145,699
  6. Step 6: Final answer
    x = 689,855.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.