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Finding the Third Proportional to 219,301 and 455,840

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Solution

The third proportional to 219,301 and 455,840 is: 947,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,301 : 455,840 = 455,840 : x
  2. Step 2: Convert to fraction form
    219,301/455,840 = 455,840/x
  3. Step 3: Cross multiply
    219,301x = 455,840 × 455,840
  4. Step 4: Simplify right side
    219,301x = 207,790,105,600
  5. Step 5: Solve for x
    x = 207,790,105,600/219,301
  6. Step 6: Final answer
    x = 947,510.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.