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Finding the Third Proportional to 553,340 and 830,015

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Solution

The third proportional to 553,340 and 830,015 is: 1,245,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,340 : 830,015 = 830,015 : x
  2. Step 2: Convert to fraction form
    553,340/830,015 = 830,015/x
  3. Step 3: Cross multiply
    553,340x = 830,015 × 830,015
  4. Step 4: Simplify right side
    553,340x = 688,924,900,225
  5. Step 5: Solve for x
    x = 688,924,900,225/553,340
  6. Step 6: Final answer
    x = 1,245,030.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.