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Finding the Third Proportional to 602,907 and 830,541

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Solution

The third proportional to 602,907 and 830,541 is: 1,144,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,907 : 830,541 = 830,541 : x
  2. Step 2: Convert to fraction form
    602,907/830,541 = 830,541/x
  3. Step 3: Cross multiply
    602,907x = 830,541 × 830,541
  4. Step 4: Simplify right side
    602,907x = 689,798,352,681
  5. Step 5: Solve for x
    x = 689,798,352,681/602,907
  6. Step 6: Final answer
    x = 1,144,120.66

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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.