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Finding the Third Proportional to 460,973 and 621,421

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Solution

The third proportional to 460,973 and 621,421 is: 837,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,973 : 621,421 = 621,421 : x
  2. Step 2: Convert to fraction form
    460,973/621,421 = 621,421/x
  3. Step 3: Cross multiply
    460,973x = 621,421 × 621,421
  4. Step 4: Simplify right side
    460,973x = 386,164,059,241
  5. Step 5: Solve for x
    x = 386,164,059,241/460,973
  6. Step 6: Final answer
    x = 837,715.14

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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.