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Finding the Third Proportional to 421,402.50 and 901,854

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Solution

The third proportional to 421,402.50 and 901,854 is: 1,930,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,402.50 : 901,854 = 901,854 : x
  2. Step 2: Convert to fraction form
    421,402.50/901,854 = 901,854/x
  3. Step 3: Cross multiply
    421,402.50x = 901,854 × 901,854
  4. Step 4: Simplify right side
    421,402.50x = 813,340,637,316
  5. Step 5: Solve for x
    x = 813,340,637,316/421,402.50
  6. Step 6: Final answer
    x = 1,930,080.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.