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Finding the Third Proportional to 343,680 and 525,792

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Solution

The third proportional to 343,680 and 525,792 is: 804,403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,680 : 525,792 = 525,792 : x
  2. Step 2: Convert to fraction form
    343,680/525,792 = 525,792/x
  3. Step 3: Cross multiply
    343,680x = 525,792 × 525,792
  4. Step 4: Simplify right side
    343,680x = 276,457,227,264
  5. Step 5: Solve for x
    x = 276,457,227,264/343,680
  6. Step 6: Final answer
    x = 804,403.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.