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Finding the Third Proportional to 252,590 and 390,143

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Solution

The third proportional to 252,590 and 390,143 is: 602,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,590 : 390,143 = 390,143 : x
  2. Step 2: Convert to fraction form
    252,590/390,143 = 390,143/x
  3. Step 3: Cross multiply
    252,590x = 390,143 × 390,143
  4. Step 4: Simplify right side
    252,590x = 152,211,560,449
  5. Step 5: Solve for x
    x = 152,211,560,449/252,590
  6. Step 6: Final answer
    x = 602,603.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.