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Finding the Third Proportional to 461,006 and 621,470

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Solution

The third proportional to 461,006 and 621,470 is: 837,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,006 : 621,470 = 621,470 : x
  2. Step 2: Convert to fraction form
    461,006/621,470 = 621,470/x
  3. Step 3: Cross multiply
    461,006x = 621,470 × 621,470
  4. Step 4: Simplify right side
    461,006x = 386,224,960,900
  5. Step 5: Solve for x
    x = 386,224,960,900/461,006
  6. Step 6: Final answer
    x = 837,787.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.