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Finding the Third Proportional to 78,137,136 and 114,867,072

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Solution

The third proportional to 78,137,136 and 114,867,072 is: 168,862,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137,136 : 114,867,072 = 114,867,072 : x
  2. Step 2: Convert to fraction form
    78,137,136/114,867,072 = 114,867,072/x
  3. Step 3: Cross multiply
    78,137,136x = 114,867,072 × 114,867,072
  4. Step 4: Simplify right side
    78,137,136x = 13,194,444,229,853,184
  5. Step 5: Solve for x
    x = 13,194,444,229,853,184/78,137,136
  6. Step 6: Final answer
    x = 168,862,654.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.