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Finding the Third Proportional to 443,311 and 702,080

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Solution

The third proportional to 443,311 and 702,080 is: 1,111,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,311 : 702,080 = 702,080 : x
  2. Step 2: Convert to fraction form
    443,311/702,080 = 702,080/x
  3. Step 3: Cross multiply
    443,311x = 702,080 × 702,080
  4. Step 4: Simplify right side
    443,311x = 492,916,326,400
  5. Step 5: Solve for x
    x = 492,916,326,400/443,311
  6. Step 6: Final answer
    x = 1,111,897.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.