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Finding the Third Proportional to 289,416 and 435,946.50

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Solution

The third proportional to 289,416 and 435,946.50 is: 656,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,416 : 435,946.50 = 435,946.50 : x
  2. Step 2: Convert to fraction form
    289,416/435,946.50 = 435,946.50/x
  3. Step 3: Cross multiply
    289,416x = 435,946.50 × 435,946.50
  4. Step 4: Simplify right side
    289,416x = 190,049,350,862.25
  5. Step 5: Solve for x
    x = 190,049,350,862.25/289,416
  6. Step 6: Final answer
    x = 656,664.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.