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Finding the Third Proportional to 454,866,030 and 665,240,409

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Solution

The third proportional to 454,866,030 and 665,240,409 is: 972,912,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,866,030 : 665,240,409 = 665,240,409 : x
  2. Step 2: Convert to fraction form
    454,866,030/665,240,409 = 665,240,409/x
  3. Step 3: Cross multiply
    454,866,030x = 665,240,409 × 665,240,409
  4. Step 4: Simplify right side
    454,866,030x = 442,544,801,766,487,296
  5. Step 5: Solve for x
    x = 442,544,801,766,487,296/454,866,030
  6. Step 6: Final answer
    x = 972,912,401.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.