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Finding the Third Proportional to 285,220 and 610,930.50

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Solution

The third proportional to 285,220 and 610,930.50 is: 1,308,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,220 : 610,930.50 = 610,930.50 : x
  2. Step 2: Convert to fraction form
    285,220/610,930.50 = 610,930.50/x
  3. Step 3: Cross multiply
    285,220x = 610,930.50 × 610,930.50
  4. Step 4: Simplify right side
    285,220x = 373,236,075,830.25
  5. Step 5: Solve for x
    x = 373,236,075,830.25/285,220
  6. Step 6: Final answer
    x = 1,308,590.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.