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Finding the Third Proportional to 364,988 and 780,417

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Solution

The third proportional to 364,988 and 780,417 is: 1,668,686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,988 : 780,417 = 780,417 : x
  2. Step 2: Convert to fraction form
    364,988/780,417 = 780,417/x
  3. Step 3: Cross multiply
    364,988x = 780,417 × 780,417
  4. Step 4: Simplify right side
    364,988x = 609,050,693,889
  5. Step 5: Solve for x
    x = 609,050,693,889/364,988
  6. Step 6: Final answer
    x = 1,668,686.90

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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.