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Finding the Third Proportional to 198,076,658 and 434,417,140

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Solution

The third proportional to 198,076,658 and 434,417,140 is: 952,753,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,076,658 : 434,417,140 = 434,417,140 : x
  2. Step 2: Convert to fraction form
    198,076,658/434,417,140 = 434,417,140/x
  3. Step 3: Cross multiply
    198,076,658x = 434,417,140 × 434,417,140
  4. Step 4: Simplify right side
    198,076,658x = 188,718,251,525,779,584
  5. Step 5: Solve for x
    x = 188,718,251,525,779,584/198,076,658
  6. Step 6: Final answer
    x = 952,753,612.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.