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Finding the Third Proportional to 342,128 and 531,044

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Solution

The third proportional to 342,128 and 531,044 is: 824,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,128 : 531,044 = 531,044 : x
  2. Step 2: Convert to fraction form
    342,128/531,044 = 531,044/x
  3. Step 3: Cross multiply
    342,128x = 531,044 × 531,044
  4. Step 4: Simplify right side
    342,128x = 282,007,729,936
  5. Step 5: Solve for x
    x = 282,007,729,936/342,128
  6. Step 6: Final answer
    x = 824,275.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.