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Finding the Third Proportional to 10,305,500 and 15,700,020

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Solution

The third proportional to 10,305,500 and 15,700,020 is: 23,918,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305,500 : 15,700,020 = 15,700,020 : x
  2. Step 2: Convert to fraction form
    10,305,500/15,700,020 = 15,700,020/x
  3. Step 3: Cross multiply
    10,305,500x = 15,700,020 × 15,700,020
  4. Step 4: Simplify right side
    10,305,500x = 246,490,628,000,400
  5. Step 5: Solve for x
    x = 246,490,628,000,400/10,305,500
  6. Step 6: Final answer
    x = 23,918,356.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.