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Finding the Third Proportional to 455,475 and 648,834

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Solution

The third proportional to 455,475 and 648,834 is: 924,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,475 : 648,834 = 648,834 : x
  2. Step 2: Convert to fraction form
    455,475/648,834 = 648,834/x
  3. Step 3: Cross multiply
    455,475x = 648,834 × 648,834
  4. Step 4: Simplify right side
    455,475x = 420,985,559,556
  5. Step 5: Solve for x
    x = 420,985,559,556/455,475
  6. Step 6: Final answer
    x = 924,278.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.