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Finding the Third Proportional to 420,815 and 651,905

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Solution

The third proportional to 420,815 and 651,905 is: 1,009,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,815 : 651,905 = 651,905 : x
  2. Step 2: Convert to fraction form
    420,815/651,905 = 651,905/x
  3. Step 3: Cross multiply
    420,815x = 651,905 × 651,905
  4. Step 4: Simplify right side
    420,815x = 424,980,129,025
  5. Step 5: Solve for x
    x = 424,980,129,025/420,815
  6. Step 6: Final answer
    x = 1,009,897.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.