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Finding the Third Proportional to 403,358 and 880,072

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Solution

The third proportional to 403,358 and 880,072 is: 1,920,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,358 : 880,072 = 880,072 : x
  2. Step 2: Convert to fraction form
    403,358/880,072 = 880,072/x
  3. Step 3: Cross multiply
    403,358x = 880,072 × 880,072
  4. Step 4: Simplify right side
    403,358x = 774,526,725,184
  5. Step 5: Solve for x
    x = 774,526,725,184/403,358
  6. Step 6: Final answer
    x = 1,920,196.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.