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Finding the Third Proportional to 460,276 and 621,862

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Solution

The third proportional to 460,276 and 621,862 is: 840,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,276 : 621,862 = 621,862 : x
  2. Step 2: Convert to fraction form
    460,276/621,862 = 621,862/x
  3. Step 3: Cross multiply
    460,276x = 621,862 × 621,862
  4. Step 4: Simplify right side
    460,276x = 386,712,347,044
  5. Step 5: Solve for x
    x = 386,712,347,044/460,276
  6. Step 6: Final answer
    x = 840,174.91

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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.