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Finding the Third Proportional to 148,387 and 314,430

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Solution

The third proportional to 148,387 and 314,430 is: 666,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,387 : 314,430 = 314,430 : x
  2. Step 2: Convert to fraction form
    148,387/314,430 = 314,430/x
  3. Step 3: Cross multiply
    148,387x = 314,430 × 314,430
  4. Step 4: Simplify right side
    148,387x = 98,866,224,900
  5. Step 5: Solve for x
    x = 98,866,224,900/148,387
  6. Step 6: Final answer
    x = 666,272.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.