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Finding the Third Proportional to 319,746 and 469,251

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Solution

The third proportional to 319,746 and 469,251 is: 688,660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,746 : 469,251 = 469,251 : x
  2. Step 2: Convert to fraction form
    319,746/469,251 = 469,251/x
  3. Step 3: Cross multiply
    319,746x = 469,251 × 469,251
  4. Step 4: Simplify right side
    319,746x = 220,196,501,001
  5. Step 5: Solve for x
    x = 220,196,501,001/319,746
  6. Step 6: Final answer
    x = 688,660.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.