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Finding the Third Proportional to 213,128 and 312,780

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Solution

The third proportional to 213,128 and 312,780 is: 459,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,128 : 312,780 = 312,780 : x
  2. Step 2: Convert to fraction form
    213,128/312,780 = 312,780/x
  3. Step 3: Cross multiply
    213,128x = 312,780 × 312,780
  4. Step 4: Simplify right side
    213,128x = 97,831,328,400
  5. Step 5: Solve for x
    x = 97,831,328,400/213,128
  6. Step 6: Final answer
    x = 459,026.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.