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Finding the Third Proportional to 401,864.50 and 547,271

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Solution

The third proportional to 401,864.50 and 547,271 is: 745,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,864.50 : 547,271 = 547,271 : x
  2. Step 2: Convert to fraction form
    401,864.50/547,271 = 547,271/x
  3. Step 3: Cross multiply
    401,864.50x = 547,271 × 547,271
  4. Step 4: Simplify right side
    401,864.50x = 299,505,547,441
  5. Step 5: Solve for x
    x = 299,505,547,441/401,864.50
  6. Step 6: Final answer
    x = 745,289.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.