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Finding the Third Proportional to 121,266,972 and 186,398,023.50

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Solution

The third proportional to 121,266,972 and 186,398,023.50 is: 286,510,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,266,972 : 186,398,023.50 = 186,398,023.50 : x
  2. Step 2: Convert to fraction form
    121,266,972/186,398,023.50 = 186,398,023.50/x
  3. Step 3: Cross multiply
    121,266,972x = 186,398,023.50 × 186,398,023.50
  4. Step 4: Simplify right side
    121,266,972x = 34,744,223,164,706,552
  5. Step 5: Solve for x
    x = 34,744,223,164,706,552/121,266,972
  6. Step 6: Final answer
    x = 286,510,189.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.