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Finding the Third Proportional to 602,905 and 830,539

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Solution

The third proportional to 602,905 and 830,539 is: 1,144,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,905 : 830,539 = 830,539 : x
  2. Step 2: Convert to fraction form
    602,905/830,539 = 830,539/x
  3. Step 3: Cross multiply
    602,905x = 830,539 × 830,539
  4. Step 4: Simplify right side
    602,905x = 689,795,030,521
  5. Step 5: Solve for x
    x = 689,795,030,521/602,905
  6. Step 6: Final answer
    x = 1,144,118.94

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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.