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Finding the Third Proportional to 390,144 and 570,420

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Solution

The third proportional to 390,144 and 570,420 is: 833,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,144 : 570,420 = 570,420 : x
  2. Step 2: Convert to fraction form
    390,144/570,420 = 570,420/x
  3. Step 3: Cross multiply
    390,144x = 570,420 × 570,420
  4. Step 4: Simplify right side
    390,144x = 325,378,976,400
  5. Step 5: Solve for x
    x = 325,378,976,400/390,144
  6. Step 6: Final answer
    x = 833,997.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.