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Finding the Third Proportional to 421,575 and 616,588.50

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Solution

The third proportional to 421,575 and 616,588.50 is: 901,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,575 : 616,588.50 = 616,588.50 : x
  2. Step 2: Convert to fraction form
    421,575/616,588.50 = 616,588.50/x
  3. Step 3: Cross multiply
    421,575x = 616,588.50 × 616,588.50
  4. Step 4: Simplify right side
    421,575x = 380,181,378,332.25
  5. Step 5: Solve for x
    x = 380,181,378,332.25/421,575
  6. Step 6: Final answer
    x = 901,811.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.