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Finding the Third Proportional to 435,564 and 655,897.50

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Solution

The third proportional to 435,564 and 655,897.50 is: 987,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,564 : 655,897.50 = 655,897.50 : x
  2. Step 2: Convert to fraction form
    435,564/655,897.50 = 655,897.50/x
  3. Step 3: Cross multiply
    435,564x = 655,897.50 × 655,897.50
  4. Step 4: Simplify right side
    435,564x = 430,201,530,506.25
  5. Step 5: Solve for x
    x = 430,201,530,506.25/435,564
  6. Step 6: Final answer
    x = 987,688.45

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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.