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Finding the Third Proportional to 478,611,450 and 1,041,080,580

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Solution

The third proportional to 478,611,450 and 1,041,080,580 is: 2,264,569,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,611,450 : 1,041,080,580 = 1,041,080,580 : x
  2. Step 2: Convert to fraction form
    478,611,450/1,041,080,580 = 1,041,080,580/x
  3. Step 3: Cross multiply
    478,611,450x = 1,041,080,580 × 1,041,080,580
  4. Step 4: Simplify right side
    478,611,450x = 1,083,848,774,053,136,384
  5. Step 5: Solve for x
    x = 1,083,848,774,053,136,384/478,611,450
  6. Step 6: Final answer
    x = 2,264,569,253.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.