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Finding the Third Proportional to 602,909 and 830,544

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Solution

The third proportional to 602,909 and 830,544 is: 1,144,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,909 : 830,544 = 830,544 : x
  2. Step 2: Convert to fraction form
    602,909/830,544 = 830,544/x
  3. Step 3: Cross multiply
    602,909x = 830,544 × 830,544
  4. Step 4: Simplify right side
    602,909x = 689,803,335,936
  5. Step 5: Solve for x
    x = 689,803,335,936/602,909
  6. Step 6: Final answer
    x = 1,144,125.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.