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Finding the Third Proportional to 353,140 and 771,883

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Solution

The third proportional to 353,140 and 771,883 is: 1,687,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,140 : 771,883 = 771,883 : x
  2. Step 2: Convert to fraction form
    353,140/771,883 = 771,883/x
  3. Step 3: Cross multiply
    353,140x = 771,883 × 771,883
  4. Step 4: Simplify right side
    353,140x = 595,803,365,689
  5. Step 5: Solve for x
    x = 595,803,365,689/353,140
  6. Step 6: Final answer
    x = 1,687,159.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.