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Finding the Third Proportional to 326,419 and 499,288

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Solution

The third proportional to 326,419 and 499,288 is: 763,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,419 : 499,288 = 499,288 : x
  2. Step 2: Convert to fraction form
    326,419/499,288 = 499,288/x
  3. Step 3: Cross multiply
    326,419x = 499,288 × 499,288
  4. Step 4: Simplify right side
    326,419x = 249,288,506,944
  5. Step 5: Solve for x
    x = 249,288,506,944/326,419
  6. Step 6: Final answer
    x = 763,707.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.