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Finding the Third Proportional to 306,810 and 671,040

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Solution

The third proportional to 306,810 and 671,040 is: 1,467,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,810 : 671,040 = 671,040 : x
  2. Step 2: Convert to fraction form
    306,810/671,040 = 671,040/x
  3. Step 3: Cross multiply
    306,810x = 671,040 × 671,040
  4. Step 4: Simplify right side
    306,810x = 450,294,681,600
  5. Step 5: Solve for x
    x = 450,294,681,600/306,810
  6. Step 6: Final answer
    x = 1,467,666.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.