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Finding the Third Proportional to 388,656 and 571,868

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Solution

The third proportional to 388,656 and 571,868 is: 841,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,656 : 571,868 = 571,868 : x
  2. Step 2: Convert to fraction form
    388,656/571,868 = 571,868/x
  3. Step 3: Cross multiply
    388,656x = 571,868 × 571,868
  4. Step 4: Simplify right side
    388,656x = 327,033,009,424
  5. Step 5: Solve for x
    x = 327,033,009,424/388,656
  6. Step 6: Final answer
    x = 841,445.93

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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.