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Finding the Third Proportional to 289,376 and 460,320

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Solution

The third proportional to 289,376 and 460,320 is: 732,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,376 : 460,320 = 460,320 : x
  2. Step 2: Convert to fraction form
    289,376/460,320 = 460,320/x
  3. Step 3: Cross multiply
    289,376x = 460,320 × 460,320
  4. Step 4: Simplify right side
    289,376x = 211,894,502,400
  5. Step 5: Solve for x
    x = 211,894,502,400/289,376
  6. Step 6: Final answer
    x = 732,246.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.