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Finding the Third Proportional to 132,415 and 289,417

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Solution

The third proportional to 132,415 and 289,417 is: 632,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,415 : 289,417 = 289,417 : x
  2. Step 2: Convert to fraction form
    132,415/289,417 = 289,417/x
  3. Step 3: Cross multiply
    132,415x = 289,417 × 289,417
  4. Step 4: Simplify right side
    132,415x = 83,762,199,889
  5. Step 5: Solve for x
    x = 83,762,199,889/132,415
  6. Step 6: Final answer
    x = 632,573.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.