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Finding the Third Proportional to 78,443,840 and 120,974,016

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Solution

The third proportional to 78,443,840 and 120,974,016 is: 186,562,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,443,840 : 120,974,016 = 120,974,016 : x
  2. Step 2: Convert to fraction form
    78,443,840/120,974,016 = 120,974,016/x
  3. Step 3: Cross multiply
    78,443,840x = 120,974,016 × 120,974,016
  4. Step 4: Simplify right side
    78,443,840x = 14,634,712,547,168,256
  5. Step 5: Solve for x
    x = 14,634,712,547,168,256/78,443,840
  6. Step 6: Final answer
    x = 186,562,928.93

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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.