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Finding the Third Proportional to 408,507 and 621,402

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Solution

The third proportional to 408,507 and 621,402 is: 945,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,507 : 621,402 = 621,402 : x
  2. Step 2: Convert to fraction form
    408,507/621,402 = 621,402/x
  3. Step 3: Cross multiply
    408,507x = 621,402 × 621,402
  4. Step 4: Simplify right side
    408,507x = 386,140,445,604
  5. Step 5: Solve for x
    x = 386,140,445,604/408,507
  6. Step 6: Final answer
    x = 945,248.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.