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Finding the Third Proportional to 388,652 and 571,862

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Solution

The third proportional to 388,652 and 571,862 is: 841,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,652 : 571,862 = 571,862 : x
  2. Step 2: Convert to fraction form
    388,652/571,862 = 571,862/x
  3. Step 3: Cross multiply
    388,652x = 571,862 × 571,862
  4. Step 4: Simplify right side
    388,652x = 327,026,147,044
  5. Step 5: Solve for x
    x = 327,026,147,044/388,652
  6. Step 6: Final answer
    x = 841,436.93

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