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Finding the Third Proportional to 329,004 and 717,516

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Solution

The third proportional to 329,004 and 717,516 is: 1,564,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,004 : 717,516 = 717,516 : x
  2. Step 2: Convert to fraction form
    329,004/717,516 = 717,516/x
  3. Step 3: Cross multiply
    329,004x = 717,516 × 717,516
  4. Step 4: Simplify right side
    329,004x = 514,829,210,256
  5. Step 5: Solve for x
    x = 514,829,210,256/329,004
  6. Step 6: Final answer
    x = 1,564,811.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.