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Finding the Third Proportional to 421,946 and 924,000.50

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Solution

The third proportional to 421,946 and 924,000.50 is: 2,023,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,946 : 924,000.50 = 924,000.50 : x
  2. Step 2: Convert to fraction form
    421,946/924,000.50 = 924,000.50/x
  3. Step 3: Cross multiply
    421,946x = 924,000.50 × 924,000.50
  4. Step 4: Simplify right side
    421,946x = 853,776,924,000.25
  5. Step 5: Solve for x
    x = 853,776,924,000.25/421,946
  6. Step 6: Final answer
    x = 2,023,426.99

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