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Finding the Third Proportional to 417,407 and 623,644

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Solution

The third proportional to 417,407 and 623,644 is: 931,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,407 : 623,644 = 623,644 : x
  2. Step 2: Convert to fraction form
    417,407/623,644 = 623,644/x
  3. Step 3: Cross multiply
    417,407x = 623,644 × 623,644
  4. Step 4: Simplify right side
    417,407x = 388,931,838,736
  5. Step 5: Solve for x
    x = 388,931,838,736/417,407
  6. Step 6: Final answer
    x = 931,780.82

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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.