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Finding the Third Proportional to 273,195,207 and 596,316,222

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Solution

The third proportional to 273,195,207 and 596,316,222 is: 1,301,607,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,195,207 : 596,316,222 = 596,316,222 : x
  2. Step 2: Convert to fraction form
    273,195,207/596,316,222 = 596,316,222/x
  3. Step 3: Cross multiply
    273,195,207x = 596,316,222 × 596,316,222
  4. Step 4: Simplify right side
    273,195,207x = 355,593,036,620,353,280
  5. Step 5: Solve for x
    x = 355,593,036,620,353,280/273,195,207
  6. Step 6: Final answer
    x = 1,301,607,888.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.