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Finding the Third Proportional to 389,112 and 525,924

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Solution

The third proportional to 389,112 and 525,924 is: 710,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,112 : 525,924 = 525,924 : x
  2. Step 2: Convert to fraction form
    389,112/525,924 = 525,924/x
  3. Step 3: Cross multiply
    389,112x = 525,924 × 525,924
  4. Step 4: Simplify right side
    389,112x = 276,596,053,776
  5. Step 5: Solve for x
    x = 276,596,053,776/389,112
  6. Step 6: Final answer
    x = 710,839.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.