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Finding the Third Proportional to 10,220,401.50 and 15,709,460.25

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Solution

The third proportional to 10,220,401.50 and 15,709,460.25 is: 24,146,521.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220,401.50 : 15,709,460.25 = 15,709,460.25 : x
  2. Step 2: Convert to fraction form
    10,220,401.50/15,709,460.25 = 15,709,460.25/x
  3. Step 3: Cross multiply
    10,220,401.50x = 15,709,460.25 × 15,709,460.25
  4. Step 4: Simplify right side
    10,220,401.50x = 246,787,141,346,330.06
  5. Step 5: Solve for x
    x = 246,787,141,346,330.06/10,220,401.50
  6. Step 6: Final answer
    x = 24,146,521.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.