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Finding the Third Proportional to 403,020 and 847,392

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Solution

The third proportional to 403,020 and 847,392 is: 1,781,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,020 : 847,392 = 847,392 : x
  2. Step 2: Convert to fraction form
    403,020/847,392 = 847,392/x
  3. Step 3: Cross multiply
    403,020x = 847,392 × 847,392
  4. Step 4: Simplify right side
    403,020x = 718,073,201,664
  5. Step 5: Solve for x
    x = 718,073,201,664/403,020
  6. Step 6: Final answer
    x = 1,781,730.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.