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Finding the Third Proportional to 642,074 and 980,207

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Solution

The third proportional to 642,074 and 980,207 is: 1,496,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,074 : 980,207 = 980,207 : x
  2. Step 2: Convert to fraction form
    642,074/980,207 = 980,207/x
  3. Step 3: Cross multiply
    642,074x = 980,207 × 980,207
  4. Step 4: Simplify right side
    642,074x = 960,805,762,849
  5. Step 5: Solve for x
    x = 960,805,762,849/642,074
  6. Step 6: Final answer
    x = 1,496,409.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.