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Finding the Third Proportional to 502,283 and 704,140

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Solution

The third proportional to 502,283 and 704,140 is: 987,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,283 : 704,140 = 704,140 : x
  2. Step 2: Convert to fraction form
    502,283/704,140 = 704,140/x
  3. Step 3: Cross multiply
    502,283x = 704,140 × 704,140
  4. Step 4: Simplify right side
    502,283x = 495,813,139,600
  5. Step 5: Solve for x
    x = 495,813,139,600/502,283
  6. Step 6: Final answer
    x = 987,119.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.