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Finding the Third Proportional to 40,345,098,643 and 88,290,329,489

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Solution

The third proportional to 40,345,098,643 and 88,290,329,489 is: 193,212,621,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,345,098,643 : 88,290,329,489 = 88,290,329,489 : x
  2. Step 2: Convert to fraction form
    40,345,098,643/88,290,329,489 = 88,290,329,489/x
  3. Step 3: Cross multiply
    40,345,098,643x = 88,290,329,489 × 88,290,329,489
  4. Step 4: Simplify right side
    40,345,098,643x = 7,795,182,281,276,182,757,376
  5. Step 5: Solve for x
    x = 7,795,182,281,276,182,757,376/40,345,098,643
  6. Step 6: Final answer
    x = 193,212,621,692.99

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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.