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Finding the Third Proportional to 390,454 and 590,598

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Solution

The third proportional to 390,454 and 590,598 is: 893,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,454 : 590,598 = 590,598 : x
  2. Step 2: Convert to fraction form
    390,454/590,598 = 590,598/x
  3. Step 3: Cross multiply
    390,454x = 590,598 × 590,598
  4. Step 4: Simplify right side
    390,454x = 348,805,997,604
  5. Step 5: Solve for x
    x = 348,805,997,604/390,454
  6. Step 6: Final answer
    x = 893,334.42

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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.