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Finding the Third Proportional to 52,742,348 and 114,011,770

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Solution

The third proportional to 52,742,348 and 114,011,770 is: 246,456,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,742,348 : 114,011,770 = 114,011,770 : x
  2. Step 2: Convert to fraction form
    52,742,348/114,011,770 = 114,011,770/x
  3. Step 3: Cross multiply
    52,742,348x = 114,011,770 × 114,011,770
  4. Step 4: Simplify right side
    52,742,348x = 12,998,683,698,532,900
  5. Step 5: Solve for x
    x = 12,998,683,698,532,900/52,742,348
  6. Step 6: Final answer
    x = 246,456,295.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.