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Finding the Third Proportional to 268,312 and 424,508

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Solution

The third proportional to 268,312 and 424,508 is: 671,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,312 : 424,508 = 424,508 : x
  2. Step 2: Convert to fraction form
    268,312/424,508 = 424,508/x
  3. Step 3: Cross multiply
    268,312x = 424,508 × 424,508
  4. Step 4: Simplify right side
    268,312x = 180,207,042,064
  5. Step 5: Solve for x
    x = 180,207,042,064/268,312
  6. Step 6: Final answer
    x = 671,632.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.