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Finding the Third Proportional to 330,688 and 716,320

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Solution

The third proportional to 330,688 and 716,320 is: 1,551,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,688 : 716,320 = 716,320 : x
  2. Step 2: Convert to fraction form
    330,688/716,320 = 716,320/x
  3. Step 3: Cross multiply
    330,688x = 716,320 × 716,320
  4. Step 4: Simplify right side
    330,688x = 513,114,342,400
  5. Step 5: Solve for x
    x = 513,114,342,400/330,688
  6. Step 6: Final answer
    x = 1,551,656.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.