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Finding the Third Proportional to 245,632 and 390,596

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Solution

The third proportional to 245,632 and 390,596 is: 621,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,632 : 390,596 = 390,596 : x
  2. Step 2: Convert to fraction form
    245,632/390,596 = 390,596/x
  3. Step 3: Cross multiply
    245,632x = 390,596 × 390,596
  4. Step 4: Simplify right side
    245,632x = 152,565,235,216
  5. Step 5: Solve for x
    x = 152,565,235,216/245,632
  6. Step 6: Final answer
    x = 621,113.03

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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.