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Finding the Third Proportional to 403,011 and 847,377

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Solution

The third proportional to 403,011 and 847,377 is: 1,781,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,011 : 847,377 = 847,377 : x
  2. Step 2: Convert to fraction form
    403,011/847,377 = 847,377/x
  3. Step 3: Cross multiply
    403,011x = 847,377 × 847,377
  4. Step 4: Simplify right side
    403,011x = 718,047,780,129
  5. Step 5: Solve for x
    x = 718,047,780,129/403,011
  6. Step 6: Final answer
    x = 1,781,707.65

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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.