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Finding the Third Proportional to 316,064 and 489,072

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Solution

The third proportional to 316,064 and 489,072 is: 756,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,064 : 489,072 = 489,072 : x
  2. Step 2: Convert to fraction form
    316,064/489,072 = 489,072/x
  3. Step 3: Cross multiply
    316,064x = 489,072 × 489,072
  4. Step 4: Simplify right side
    316,064x = 239,191,421,184
  5. Step 5: Solve for x
    x = 239,191,421,184/316,064
  6. Step 6: Final answer
    x = 756,781.60

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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.