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Finding the Third Proportional to 398,031 and 859,417.50

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Solution

The third proportional to 398,031 and 859,417.50 is: 1,855,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,031 : 859,417.50 = 859,417.50 : x
  2. Step 2: Convert to fraction form
    398,031/859,417.50 = 859,417.50/x
  3. Step 3: Cross multiply
    398,031x = 859,417.50 × 859,417.50
  4. Step 4: Simplify right side
    398,031x = 738,598,439,306.25
  5. Step 5: Solve for x
    x = 738,598,439,306.25/398,031
  6. Step 6: Final answer
    x = 1,855,630.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.