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Finding the Third Proportional to 430,862 and 882,620

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Solution

The third proportional to 430,862 and 882,620 is: 1,808,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,862 : 882,620 = 882,620 : x
  2. Step 2: Convert to fraction form
    430,862/882,620 = 882,620/x
  3. Step 3: Cross multiply
    430,862x = 882,620 × 882,620
  4. Step 4: Simplify right side
    430,862x = 779,018,064,400
  5. Step 5: Solve for x
    x = 779,018,064,400/430,862
  6. Step 6: Final answer
    x = 1,808,045.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.