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Finding the Third Proportional to 864,284 and 1,308,348

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Solution

The third proportional to 864,284 and 1,308,348 is: 1,980,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,284 : 1,308,348 = 1,308,348 : x
  2. Step 2: Convert to fraction form
    864,284/1,308,348 = 1,308,348/x
  3. Step 3: Cross multiply
    864,284x = 1,308,348 × 1,308,348
  4. Step 4: Simplify right side
    864,284x = 1,711,774,489,104
  5. Step 5: Solve for x
    x = 1,711,774,489,104/864,284
  6. Step 6: Final answer
    x = 1,980,569.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.