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Finding the Third Proportional to 509,752 and 712,972

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Solution

The third proportional to 509,752 and 712,972 is: 997,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,752 : 712,972 = 712,972 : x
  2. Step 2: Convert to fraction form
    509,752/712,972 = 712,972/x
  3. Step 3: Cross multiply
    509,752x = 712,972 × 712,972
  4. Step 4: Simplify right side
    509,752x = 508,329,072,784
  5. Step 5: Solve for x
    x = 508,329,072,784/509,752
  6. Step 6: Final answer
    x = 997,208.59

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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.