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Finding the Third Proportional to 78,146,970 and 114,879,007

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Solution

The third proportional to 78,146,970 and 114,879,007 is: 168,876,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,146,970 : 114,879,007 = 114,879,007 : x
  2. Step 2: Convert to fraction form
    78,146,970/114,879,007 = 114,879,007/x
  3. Step 3: Cross multiply
    78,146,970x = 114,879,007 × 114,879,007
  4. Step 4: Simplify right side
    78,146,970x = 13,197,186,249,306,048
  5. Step 5: Solve for x
    x = 13,197,186,249,306,048/78,146,970
  6. Step 6: Final answer
    x = 168,876,493.22

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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.