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Finding the Third Proportional to 390,438 and 590,574

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Solution

The third proportional to 390,438 and 590,574 is: 893,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,438 : 590,574 = 590,574 : x
  2. Step 2: Convert to fraction form
    390,438/590,574 = 590,574/x
  3. Step 3: Cross multiply
    390,438x = 590,574 × 590,574
  4. Step 4: Simplify right side
    390,438x = 348,777,649,476
  5. Step 5: Solve for x
    x = 348,777,649,476/390,438
  6. Step 6: Final answer
    x = 893,298.42

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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.