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Finding the Third Proportional to 314,430 and 487,251

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Solution

The third proportional to 314,430 and 487,251 is: 755,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,430 : 487,251 = 487,251 : x
  2. Step 2: Convert to fraction form
    314,430/487,251 = 487,251/x
  3. Step 3: Cross multiply
    314,430x = 487,251 × 487,251
  4. Step 4: Simplify right side
    314,430x = 237,413,537,001
  5. Step 5: Solve for x
    x = 237,413,537,001/314,430
  6. Step 6: Final answer
    x = 755,060.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.