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Finding the Third Proportional to 272,358 and 433,273.50

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Solution

The third proportional to 272,358 and 433,273.50 is: 689,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,358 : 433,273.50 = 433,273.50 : x
  2. Step 2: Convert to fraction form
    272,358/433,273.50 = 433,273.50/x
  3. Step 3: Cross multiply
    272,358x = 433,273.50 × 433,273.50
  4. Step 4: Simplify right side
    272,358x = 187,725,925,802.25
  5. Step 5: Solve for x
    x = 187,725,925,802.25/272,358
  6. Step 6: Final answer
    x = 689,261.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.