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Finding the Third Proportional to 213,130 and 312,783

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Solution

The third proportional to 213,130 and 312,783 is: 459,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,130 : 312,783 = 312,783 : x
  2. Step 2: Convert to fraction form
    213,130/312,783 = 312,783/x
  3. Step 3: Cross multiply
    213,130x = 312,783 × 312,783
  4. Step 4: Simplify right side
    213,130x = 97,833,205,089
  5. Step 5: Solve for x
    x = 97,833,205,089/213,130
  6. Step 6: Final answer
    x = 459,030.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.