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Finding the Third Proportional to 137,200,727,952 and 297,194,684,832

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Solution

The third proportional to 137,200,727,952 and 297,194,684,832 is: 643,762,478,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200,727,952 : 297,194,684,832 = 297,194,684,832 : x
  2. Step 2: Convert to fraction form
    137,200,727,952/297,194,684,832 = 297,194,684,832/x
  3. Step 3: Cross multiply
    137,200,727,952x = 297,194,684,832 × 297,194,684,832
  4. Step 4: Simplify right side
    137,200,727,952x = 88,324,680,692,391,814,889,472
  5. Step 5: Solve for x
    x = 88,324,680,692,391,814,889,472/137,200,727,952
  6. Step 6: Final answer
    x = 643,762,478,602.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.