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Finding the Third Proportional to 490,098 and 780,363

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Solution

The third proportional to 490,098 and 780,363 is: 1,242,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,098 : 780,363 = 780,363 : x
  2. Step 2: Convert to fraction form
    490,098/780,363 = 780,363/x
  3. Step 3: Cross multiply
    490,098x = 780,363 × 780,363
  4. Step 4: Simplify right side
    490,098x = 608,966,411,769
  5. Step 5: Solve for x
    x = 608,966,411,769/490,098
  6. Step 6: Final answer
    x = 1,242,540.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.