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Finding the Third Proportional to 54,130,018 and 78,208,527

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Solution

The third proportional to 54,130,018 and 78,208,527 is: 112,997,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,130,018 : 78,208,527 = 78,208,527 : x
  2. Step 2: Convert to fraction form
    54,130,018/78,208,527 = 78,208,527/x
  3. Step 3: Cross multiply
    54,130,018x = 78,208,527 × 78,208,527
  4. Step 4: Simplify right side
    54,130,018x = 6,116,573,695,509,729
  5. Step 5: Solve for x
    x = 6,116,573,695,509,729/54,130,018
  6. Step 6: Final answer
    x = 112,997,813.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.