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Finding the Third Proportional to 245,624 and 390,580

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Solution

The third proportional to 245,624 and 390,580 is: 621,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,624 : 390,580 = 390,580 : x
  2. Step 2: Convert to fraction form
    245,624/390,580 = 390,580/x
  3. Step 3: Cross multiply
    245,624x = 390,580 × 390,580
  4. Step 4: Simplify right side
    245,624x = 152,552,736,400
  5. Step 5: Solve for x
    x = 152,552,736,400/245,624
  6. Step 6: Final answer
    x = 621,082.37

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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.