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Finding the Third Proportional to 455,319 and 657,804

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Solution

The third proportional to 455,319 and 657,804 is: 950,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,319 : 657,804 = 657,804 : x
  2. Step 2: Convert to fraction form
    455,319/657,804 = 657,804/x
  3. Step 3: Cross multiply
    455,319x = 657,804 × 657,804
  4. Step 4: Simplify right side
    455,319x = 432,706,102,416
  5. Step 5: Solve for x
    x = 432,706,102,416/455,319
  6. Step 6: Final answer
    x = 950,336.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.