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Finding the Third Proportional to 252,574 and 390,120

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Solution

The third proportional to 252,574 and 390,120 is: 602,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,574 : 390,120 = 390,120 : x
  2. Step 2: Convert to fraction form
    252,574/390,120 = 390,120/x
  3. Step 3: Cross multiply
    252,574x = 390,120 × 390,120
  4. Step 4: Simplify right side
    252,574x = 152,193,614,400
  5. Step 5: Solve for x
    x = 152,193,614,400/252,574
  6. Step 6: Final answer
    x = 602,570.39

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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.