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Finding the Third Proportional to 289,440 and 452,688

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Solution

The third proportional to 289,440 and 452,688 is: 708,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,440 : 452,688 = 452,688 : x
  2. Step 2: Convert to fraction form
    289,440/452,688 = 452,688/x
  3. Step 3: Cross multiply
    289,440x = 452,688 × 452,688
  4. Step 4: Simplify right side
    289,440x = 204,926,425,344
  5. Step 5: Solve for x
    x = 204,926,425,344/289,440
  6. Step 6: Final answer
    x = 708,010.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.