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Finding the Third Proportional to 455,004 and 688,770

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Solution

The third proportional to 455,004 and 688,770 is: 1,042,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,004 : 688,770 = 688,770 : x
  2. Step 2: Convert to fraction form
    455,004/688,770 = 688,770/x
  3. Step 3: Cross multiply
    455,004x = 688,770 × 688,770
  4. Step 4: Simplify right side
    455,004x = 474,404,112,900
  5. Step 5: Solve for x
    x = 474,404,112,900/455,004
  6. Step 6: Final answer
    x = 1,042,637.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.