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Finding the Third Proportional to 401,488.31 and 591,140.53

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Solution

The third proportional to 401,488.31 and 591,140.53 is: 870,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,488.31 : 591,140.53 = 591,140.53 : x
  2. Step 2: Convert to fraction form
    401,488.31/591,140.53 = 591,140.53/x
  3. Step 3: Cross multiply
    401,488.31x = 591,140.53 × 591,140.53
  4. Step 4: Simplify right side
    401,488.31x = 349,447,127,686.53
  5. Step 5: Solve for x
    x = 349,447,127,686.53/401,488.31
  6. Step 6: Final answer
    x = 870,379.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.