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Finding the Third Proportional to 388,412 and 590,726

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Solution

The third proportional to 388,412 and 590,726 is: 898,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,412 : 590,726 = 590,726 : x
  2. Step 2: Convert to fraction form
    388,412/590,726 = 590,726/x
  3. Step 3: Cross multiply
    388,412x = 590,726 × 590,726
  4. Step 4: Simplify right side
    388,412x = 348,957,207,076
  5. Step 5: Solve for x
    x = 348,957,207,076/388,412
  6. Step 6: Final answer
    x = 898,420.25

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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.