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Finding the Third Proportional to 421,220 and 924,088

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Solution

The third proportional to 421,220 and 924,088 is: 2,027,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,220 : 924,088 = 924,088 : x
  2. Step 2: Convert to fraction form
    421,220/924,088 = 924,088/x
  3. Step 3: Cross multiply
    421,220x = 924,088 × 924,088
  4. Step 4: Simplify right side
    421,220x = 853,938,631,744
  5. Step 5: Solve for x
    x = 853,938,631,744/421,220
  6. Step 6: Final answer
    x = 2,027,298.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.