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Finding the Third Proportional to 145,556 and 318,820

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Solution

The third proportional to 145,556 and 318,820 is: 698,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,556 : 318,820 = 318,820 : x
  2. Step 2: Convert to fraction form
    145,556/318,820 = 318,820/x
  3. Step 3: Cross multiply
    145,556x = 318,820 × 318,820
  4. Step 4: Simplify right side
    145,556x = 101,646,192,400
  5. Step 5: Solve for x
    x = 101,646,192,400/145,556
  6. Step 6: Final answer
    x = 698,330.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.