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Finding the Third Proportional to 252,326 and 390,639

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Solution

The third proportional to 252,326 and 390,639 is: 604,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,326 : 390,639 = 390,639 : x
  2. Step 2: Convert to fraction form
    252,326/390,639 = 390,639/x
  3. Step 3: Cross multiply
    252,326x = 390,639 × 390,639
  4. Step 4: Simplify right side
    252,326x = 152,598,828,321
  5. Step 5: Solve for x
    x = 152,598,828,321/252,326
  6. Step 6: Final answer
    x = 604,768.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.