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Finding the Third Proportional to 319,833 and 688,887

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Solution

The third proportional to 319,833 and 688,887 is: 1,483,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,833 : 688,887 = 688,887 : x
  2. Step 2: Convert to fraction form
    319,833/688,887 = 688,887/x
  3. Step 3: Cross multiply
    319,833x = 688,887 × 688,887
  4. Step 4: Simplify right side
    319,833x = 474,565,298,769
  5. Step 5: Solve for x
    x = 474,565,298,769/319,833
  6. Step 6: Final answer
    x = 1,483,790.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.