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Finding the Third Proportional to 290,306 and 435,459

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Solution

The third proportional to 290,306 and 435,459 is: 653,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,306 : 435,459 = 435,459 : x
  2. Step 2: Convert to fraction form
    290,306/435,459 = 435,459/x
  3. Step 3: Cross multiply
    290,306x = 435,459 × 435,459
  4. Step 4: Simplify right side
    290,306x = 189,624,540,681
  5. Step 5: Solve for x
    x = 189,624,540,681/290,306
  6. Step 6: Final answer
    x = 653,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.