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Finding the Third Proportional to 602,011 and 908,121

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Solution

The third proportional to 602,011 and 908,121 is: 1,369,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,011 : 908,121 = 908,121 : x
  2. Step 2: Convert to fraction form
    602,011/908,121 = 908,121/x
  3. Step 3: Cross multiply
    602,011x = 908,121 × 908,121
  4. Step 4: Simplify right side
    602,011x = 824,683,750,641
  5. Step 5: Solve for x
    x = 824,683,750,641/602,011
  6. Step 6: Final answer
    x = 1,369,881.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.