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Finding the Third Proportional to 94,539,666.75 and 205,643,671.50

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Solution

The third proportional to 94,539,666.75 and 205,643,671.50 is: 447,318,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,539,666.75 : 205,643,671.50 = 205,643,671.50 : x
  2. Step 2: Convert to fraction form
    94,539,666.75/205,643,671.50 = 205,643,671.50/x
  3. Step 3: Cross multiply
    94,539,666.75x = 205,643,671.50 × 205,643,671.50
  4. Step 4: Simplify right side
    94,539,666.75x = 42,289,319,627,999,912
  5. Step 5: Solve for x
    x = 42,289,319,627,999,912/94,539,666.75
  6. Step 6: Final answer
    x = 447,318,264.19

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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.