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Finding the Third Proportional to 219,370 and 320,746

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Solution

The third proportional to 219,370 and 320,746 is: 468,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,370 : 320,746 = 320,746 : x
  2. Step 2: Convert to fraction form
    219,370/320,746 = 320,746/x
  3. Step 3: Cross multiply
    219,370x = 320,746 × 320,746
  4. Step 4: Simplify right side
    219,370x = 102,877,996,516
  5. Step 5: Solve for x
    x = 102,877,996,516/219,370
  6. Step 6: Final answer
    x = 468,970.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.