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Finding the Third Proportional to 459,603 and 686,623

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Solution

The third proportional to 459,603 and 686,623 is: 1,025,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,603 : 686,623 = 686,623 : x
  2. Step 2: Convert to fraction form
    459,603/686,623 = 686,623/x
  3. Step 3: Cross multiply
    459,603x = 686,623 × 686,623
  4. Step 4: Simplify right side
    459,603x = 471,451,144,129
  5. Step 5: Solve for x
    x = 471,451,144,129/459,603
  6. Step 6: Final answer
    x = 1,025,779.08

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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.