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Finding the Third Proportional to 702,988 and 1,089,438

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Solution

The third proportional to 702,988 and 1,089,438 is: 1,688,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,988 : 1,089,438 = 1,089,438 : x
  2. Step 2: Convert to fraction form
    702,988/1,089,438 = 1,089,438/x
  3. Step 3: Cross multiply
    702,988x = 1,089,438 × 1,089,438
  4. Step 4: Simplify right side
    702,988x = 1,186,875,155,844
  5. Step 5: Solve for x
    x = 1,186,875,155,844/702,988
  6. Step 6: Final answer
    x = 1,688,329.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.