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Finding the Third Proportional to 602,603 and 817,488

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Solution

The third proportional to 602,603 and 817,488 is: 1,108,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,603 : 817,488 = 817,488 : x
  2. Step 2: Convert to fraction form
    602,603/817,488 = 817,488/x
  3. Step 3: Cross multiply
    602,603x = 817,488 × 817,488
  4. Step 4: Simplify right side
    602,603x = 668,286,630,144
  5. Step 5: Solve for x
    x = 668,286,630,144/602,603
  6. Step 6: Final answer
    x = 1,108,999.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.