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Finding the Third Proportional to 390,534 and 590,121

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Solution

The third proportional to 390,534 and 590,121 is: 891,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,534 : 590,121 = 590,121 : x
  2. Step 2: Convert to fraction form
    390,534/590,121 = 590,121/x
  3. Step 3: Cross multiply
    390,534x = 590,121 × 590,121
  4. Step 4: Simplify right side
    390,534x = 348,242,794,641
  5. Step 5: Solve for x
    x = 348,242,794,641/390,534
  6. Step 6: Final answer
    x = 891,709.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.