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Finding the Third Proportional to 380,386 and 803,207

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Solution

The third proportional to 380,386 and 803,207 is: 1,696,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,386 : 803,207 = 803,207 : x
  2. Step 2: Convert to fraction form
    380,386/803,207 = 803,207/x
  3. Step 3: Cross multiply
    380,386x = 803,207 × 803,207
  4. Step 4: Simplify right side
    380,386x = 645,141,484,849
  5. Step 5: Solve for x
    x = 645,141,484,849/380,386
  6. Step 6: Final answer
    x = 1,696,017.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.