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Finding the Third Proportional to 678,211.31 and 1,462,897.13

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Solution

The third proportional to 678,211.31 and 1,462,897.13 is: 3,155,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,211.31 : 1,462,897.13 = 1,462,897.13 : x
  2. Step 2: Convert to fraction form
    678,211.31/1,462,897.13 = 1,462,897.13/x
  3. Step 3: Cross multiply
    678,211.31x = 1,462,897.13 × 1,462,897.13
  4. Step 4: Simplify right side
    678,211.31x = 2,140,067,998,333.27
  5. Step 5: Solve for x
    x = 2,140,067,998,333.27/678,211.31
  6. Step 6: Final answer
    x = 3,155,459.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.