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Finding the Third Proportional to 40,307,821.50 and 82,307,490

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Solution

The third proportional to 40,307,821.50 and 82,307,490 is: 168,069,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,307,821.50 : 82,307,490 = 82,307,490 : x
  2. Step 2: Convert to fraction form
    40,307,821.50/82,307,490 = 82,307,490/x
  3. Step 3: Cross multiply
    40,307,821.50x = 82,307,490 × 82,307,490
  4. Step 4: Simplify right side
    40,307,821.50x = 6,774,522,910,100,100
  5. Step 5: Solve for x
    x = 6,774,522,910,100,100/40,307,821.50
  6. Step 6: Final answer
    x = 168,069,686.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.