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Finding the Third Proportional to 388,629.38 and 571,830.38

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Solution

The third proportional to 388,629.38 and 571,830.38 is: 841,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,629.38 : 571,830.38 = 571,830.38 : x
  2. Step 2: Convert to fraction form
    388,629.38/571,830.38 = 571,830.38/x
  3. Step 3: Cross multiply
    388,629.38x = 571,830.38 × 571,830.38
  4. Step 4: Simplify right side
    388,629.38x = 326,989,977,772.64
  5. Step 5: Solve for x
    x = 326,989,977,772.64/388,629.38
  6. Step 6: Final answer
    x = 841,392.85

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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.