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Finding the Third Proportional to 403,509 and 607,005

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Solution

The third proportional to 403,509 and 607,005 is: 913,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,509 : 607,005 = 607,005 : x
  2. Step 2: Convert to fraction form
    403,509/607,005 = 607,005/x
  3. Step 3: Cross multiply
    403,509x = 607,005 × 607,005
  4. Step 4: Simplify right side
    403,509x = 368,455,070,025
  5. Step 5: Solve for x
    x = 368,455,070,025/403,509
  6. Step 6: Final answer
    x = 913,127.27

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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.