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Finding the Third Proportional to 343,152 and 517,428

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Solution

The third proportional to 343,152 and 517,428 is: 780,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,152 : 517,428 = 517,428 : x
  2. Step 2: Convert to fraction form
    343,152/517,428 = 517,428/x
  3. Step 3: Cross multiply
    343,152x = 517,428 × 517,428
  4. Step 4: Simplify right side
    343,152x = 267,731,735,184
  5. Step 5: Solve for x
    x = 267,731,735,184/343,152
  6. Step 6: Final answer
    x = 780,213.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.