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Finding the Third Proportional to 9,776,401.50 and 14,790,432

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Solution

The third proportional to 9,776,401.50 and 14,790,432 is: 22,376,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776,401.50 : 14,790,432 = 14,790,432 : x
  2. Step 2: Convert to fraction form
    9,776,401.50/14,790,432 = 14,790,432/x
  3. Step 3: Cross multiply
    9,776,401.50x = 14,790,432 × 14,790,432
  4. Step 4: Simplify right side
    9,776,401.50x = 218,756,878,746,624
  5. Step 5: Solve for x
    x = 218,756,878,746,624/9,776,401.50
  6. Step 6: Final answer
    x = 22,376,012.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.