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Finding the Third Proportional to 455,466.38 and 648,820.13

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Solution

The third proportional to 455,466.38 and 648,820.13 is: 924,256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,466.38 : 648,820.13 = 648,820.13 : x
  2. Step 2: Convert to fraction form
    455,466.38/648,820.13 = 648,820.13/x
  3. Step 3: Cross multiply
    455,466.38x = 648,820.13 × 648,820.13
  4. Step 4: Simplify right side
    455,466.38x = 420,967,554,605.02
  5. Step 5: Solve for x
    x = 420,967,554,605.02/455,466.38
  6. Step 6: Final answer
    x = 924,256.05

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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.