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Finding the Third Proportional to 319,707 and 477,363

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Solution

The third proportional to 319,707 and 477,363 is: 712,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,707 : 477,363 = 477,363 : x
  2. Step 2: Convert to fraction form
    319,707/477,363 = 477,363/x
  3. Step 3: Cross multiply
    319,707x = 477,363 × 477,363
  4. Step 4: Simplify right side
    319,707x = 227,875,433,769
  5. Step 5: Solve for x
    x = 227,875,433,769/319,707
  6. Step 6: Final answer
    x = 712,763.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.