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Finding the Third Proportional to 145,580 and 318,316

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Solution

The third proportional to 145,580 and 318,316 is: 696,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,580 : 318,316 = 318,316 : x
  2. Step 2: Convert to fraction form
    145,580/318,316 = 318,316/x
  3. Step 3: Cross multiply
    145,580x = 318,316 × 318,316
  4. Step 4: Simplify right side
    145,580x = 101,325,075,856
  5. Step 5: Solve for x
    x = 101,325,075,856/145,580
  6. Step 6: Final answer
    x = 696,009.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.