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Finding the Third Proportional to 315,687 and 473,890.50

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Solution

The third proportional to 315,687 and 473,890.50 is: 711,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,687 : 473,890.50 = 473,890.50 : x
  2. Step 2: Convert to fraction form
    315,687/473,890.50 = 473,890.50/x
  3. Step 3: Cross multiply
    315,687x = 473,890.50 × 473,890.50
  4. Step 4: Simplify right side
    315,687x = 224,572,205,990.25
  5. Step 5: Solve for x
    x = 224,572,205,990.25/315,687
  6. Step 6: Final answer
    x = 711,376.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.