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Finding the Third Proportional to 401,320.13 and 621,137.81

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Solution

The third proportional to 401,320.13 and 621,137.81 is: 961,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,320.13 : 621,137.81 = 621,137.81 : x
  2. Step 2: Convert to fraction form
    401,320.13/621,137.81 = 621,137.81/x
  3. Step 3: Cross multiply
    401,320.13x = 621,137.81 × 621,137.81
  4. Step 4: Simplify right side
    401,320.13x = 385,812,182,117.29
  5. Step 5: Solve for x
    x = 385,812,182,117.29/401,320.13
  6. Step 6: Final answer
    x = 961,357.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.