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Finding the Third Proportional to 405,603 and 607,788

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Solution

The third proportional to 405,603 and 607,788 is: 910,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,603 : 607,788 = 607,788 : x
  2. Step 2: Convert to fraction form
    405,603/607,788 = 607,788/x
  3. Step 3: Cross multiply
    405,603x = 607,788 × 607,788
  4. Step 4: Simplify right side
    405,603x = 369,406,252,944
  5. Step 5: Solve for x
    x = 369,406,252,944/405,603
  6. Step 6: Final answer
    x = 910,758.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.