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Finding the Third Proportional to 607,430 and 906,219

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Solution

The third proportional to 607,430 and 906,219 is: 1,351,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,430 : 906,219 = 906,219 : x
  2. Step 2: Convert to fraction form
    607,430/906,219 = 906,219/x
  3. Step 3: Cross multiply
    607,430x = 906,219 × 906,219
  4. Step 4: Simplify right side
    607,430x = 821,232,875,961
  5. Step 5: Solve for x
    x = 821,232,875,961/607,430
  6. Step 6: Final answer
    x = 1,351,979.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.