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Finding the Third Proportional to 290,178 and 651,780

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Solution

The third proportional to 290,178 and 651,780 is: 1,463,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,178 : 651,780 = 651,780 : x
  2. Step 2: Convert to fraction form
    290,178/651,780 = 651,780/x
  3. Step 3: Cross multiply
    290,178x = 651,780 × 651,780
  4. Step 4: Simplify right side
    290,178x = 424,817,168,400
  5. Step 5: Solve for x
    x = 424,817,168,400/290,178
  6. Step 6: Final answer
    x = 1,463,988.20

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.