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Finding the Third Proportional to 388,654 and 571,865

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Solution

The third proportional to 388,654 and 571,865 is: 841,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,654 : 571,865 = 571,865 : x
  2. Step 2: Convert to fraction form
    388,654/571,865 = 571,865/x
  3. Step 3: Cross multiply
    388,654x = 571,865 × 571,865
  4. Step 4: Simplify right side
    388,654x = 327,029,578,225
  5. Step 5: Solve for x
    x = 327,029,578,225/388,654
  6. Step 6: Final answer
    x = 841,441.43

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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.