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Finding the Third Proportional to 424,440 and 662,492

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Solution

The third proportional to 424,440 and 662,492 is: 1,034,058.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,440 : 662,492 = 662,492 : x
  2. Step 2: Convert to fraction form
    424,440/662,492 = 662,492/x
  3. Step 3: Cross multiply
    424,440x = 662,492 × 662,492
  4. Step 4: Simplify right side
    424,440x = 438,895,650,064
  5. Step 5: Solve for x
    x = 438,895,650,064/424,440
  6. Step 6: Final answer
    x = 1,034,058.17

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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.