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Finding the Third Proportional to 492,038 and 803,459

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Solution

The third proportional to 492,038 and 803,459 is: 1,311,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,038 : 803,459 = 803,459 : x
  2. Step 2: Convert to fraction form
    492,038/803,459 = 803,459/x
  3. Step 3: Cross multiply
    492,038x = 803,459 × 803,459
  4. Step 4: Simplify right side
    492,038x = 645,546,364,681
  5. Step 5: Solve for x
    x = 645,546,364,681/492,038
  6. Step 6: Final answer
    x = 1,311,984.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.