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Finding the Third Proportional to 342,510.40 and 521,844.40

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Solution

The third proportional to 342,510.40 and 521,844.40 is: 795,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,510.40 : 521,844.40 = 521,844.40 : x
  2. Step 2: Convert to fraction form
    342,510.40/521,844.40 = 521,844.40/x
  3. Step 3: Cross multiply
    342,510.40x = 521,844.40 × 521,844.40
  4. Step 4: Simplify right side
    342,510.40x = 272,321,576,180.60
  5. Step 5: Solve for x
    x = 272,321,576,180.60/342,510.40
  6. Step 6: Final answer
    x = 795,075.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.