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Finding the Third Proportional to 387,648 and 830,592

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Solution

The third proportional to 387,648 and 830,592 is: 1,779,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,648 : 830,592 = 830,592 : x
  2. Step 2: Convert to fraction form
    387,648/830,592 = 830,592/x
  3. Step 3: Cross multiply
    387,648x = 830,592 × 830,592
  4. Step 4: Simplify right side
    387,648x = 689,883,070,464
  5. Step 5: Solve for x
    x = 689,883,070,464/387,648
  6. Step 6: Final answer
    x = 1,779,663.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.