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Finding the Third Proportional to 245,638 and 390,597

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Solution

The third proportional to 245,638 and 390,597 is: 621,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,638 : 390,597 = 390,597 : x
  2. Step 2: Convert to fraction form
    245,638/390,597 = 390,597/x
  3. Step 3: Cross multiply
    245,638x = 390,597 × 390,597
  4. Step 4: Simplify right side
    245,638x = 152,566,016,409
  5. Step 5: Solve for x
    x = 152,566,016,409/245,638
  6. Step 6: Final answer
    x = 621,101.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.