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Finding the Third Proportional to 77,428 and 118,362

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Solution

The third proportional to 77,428 and 118,362 is: 180,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,428 : 118,362 = 118,362 : x
  2. Step 2: Convert to fraction form
    77,428/118,362 = 118,362/x
  3. Step 3: Cross multiply
    77,428x = 118,362 × 118,362
  4. Step 4: Simplify right side
    77,428x = 14,009,563,044
  5. Step 5: Solve for x
    x = 14,009,563,044/77,428
  6. Step 6: Final answer
    x = 180,936.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.