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Finding the Third Proportional to 1,328,102,490 and 1,984,833,841.50

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Solution

The third proportional to 1,328,102,490 and 1,984,833,841.50 is: 2,966,311,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,102,490 : 1,984,833,841.50 = 1,984,833,841.50 : x
  2. Step 2: Convert to fraction form
    1,328,102,490/1,984,833,841.50 = 1,984,833,841.50/x
  3. Step 3: Cross multiply
    1,328,102,490x = 1,984,833,841.50 × 1,984,833,841.50
  4. Step 4: Simplify right side
    1,328,102,490x = 3,939,565,378,363,646,976
  5. Step 5: Solve for x
    x = 3,939,565,378,363,646,976/1,328,102,490
  6. Step 6: Final answer
    x = 2,966,311,265.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.