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Finding the Third Proportional to 68,768,643 and 102,880,654.50

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Solution

The third proportional to 68,768,643 and 102,880,654.50 is: 153,913,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,768,643 : 102,880,654.50 = 102,880,654.50 : x
  2. Step 2: Convert to fraction form
    68,768,643/102,880,654.50 = 102,880,654.50/x
  3. Step 3: Cross multiply
    68,768,643x = 102,880,654.50 × 102,880,654.50
  4. Step 4: Simplify right side
    68,768,643x = 10,584,429,070,348,370
  5. Step 5: Solve for x
    x = 10,584,429,070,348,370/68,768,643
  6. Step 6: Final answer
    x = 153,913,595.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.