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Finding the Third Proportional to 462,721.50 and 690,264

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Solution

The third proportional to 462,721.50 and 690,264 is: 1,029,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,721.50 : 690,264 = 690,264 : x
  2. Step 2: Convert to fraction form
    462,721.50/690,264 = 690,264/x
  3. Step 3: Cross multiply
    462,721.50x = 690,264 × 690,264
  4. Step 4: Simplify right side
    462,721.50x = 476,464,389,696
  5. Step 5: Solve for x
    x = 476,464,389,696/462,721.50
  6. Step 6: Final answer
    x = 1,029,700.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.