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Finding the Third Proportional to 78,686,442,060 and 120,871,999,693

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Solution

The third proportional to 78,686,442,060 and 120,871,999,693 is: 185,674,176,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,686,442,060 : 120,871,999,693 = 120,871,999,693 : x
  2. Step 2: Convert to fraction form
    78,686,442,060/120,871,999,693 = 120,871,999,693/x
  3. Step 3: Cross multiply
    78,686,442,060x = 120,871,999,693 × 120,871,999,693
  4. Step 4: Simplify right side
    78,686,442,060x = 14,610,040,309,784,592,252,928
  5. Step 5: Solve for x
    x = 14,610,040,309,784,592,252,928/78,686,442,060
  6. Step 6: Final answer
    x = 185,674,176,227.77

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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.