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Finding the Third Proportional to 305,970 and 662,776

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Solution

The third proportional to 305,970 and 662,776 is: 1,435,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,970 : 662,776 = 662,776 : x
  2. Step 2: Convert to fraction form
    305,970/662,776 = 662,776/x
  3. Step 3: Cross multiply
    305,970x = 662,776 × 662,776
  4. Step 4: Simplify right side
    305,970x = 439,272,026,176
  5. Step 5: Solve for x
    x = 439,272,026,176/305,970
  6. Step 6: Final answer
    x = 1,435,670.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.