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Finding the Third Proportional to 211,320 and 310,511

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Solution

The third proportional to 211,320 and 310,511 is: 456,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,320 : 310,511 = 310,511 : x
  2. Step 2: Convert to fraction form
    211,320/310,511 = 310,511/x
  3. Step 3: Cross multiply
    211,320x = 310,511 × 310,511
  4. Step 4: Simplify right side
    211,320x = 96,417,081,121
  5. Step 5: Solve for x
    x = 96,417,081,121/211,320
  6. Step 6: Final answer
    x = 456,261.03

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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.