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Finding the Third Proportional to 145,988 and 314,762

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Solution

The third proportional to 145,988 and 314,762 is: 678,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,988 : 314,762 = 314,762 : x
  2. Step 2: Convert to fraction form
    145,988/314,762 = 314,762/x
  3. Step 3: Cross multiply
    145,988x = 314,762 × 314,762
  4. Step 4: Simplify right side
    145,988x = 99,075,116,644
  5. Step 5: Solve for x
    x = 99,075,116,644/145,988
  6. Step 6: Final answer
    x = 678,652.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.