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Finding the Third Proportional to 278,031 and 607,031

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Solution

The third proportional to 278,031 and 607,031 is: 1,325,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,031 : 607,031 = 607,031 : x
  2. Step 2: Convert to fraction form
    278,031/607,031 = 607,031/x
  3. Step 3: Cross multiply
    278,031x = 607,031 × 607,031
  4. Step 4: Simplify right side
    278,031x = 368,486,634,961
  5. Step 5: Solve for x
    x = 368,486,634,961/278,031
  6. Step 6: Final answer
    x = 1,325,343.70

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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.