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Finding the Third Proportional to 110,450,402 and 172,886,547

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Solution

The third proportional to 110,450,402 and 172,886,547 is: 270,617,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,450,402 : 172,886,547 = 172,886,547 : x
  2. Step 2: Convert to fraction form
    110,450,402/172,886,547 = 172,886,547/x
  3. Step 3: Cross multiply
    110,450,402x = 172,886,547 × 172,886,547
  4. Step 4: Simplify right side
    110,450,402x = 29,889,758,133,583,208
  5. Step 5: Solve for x
    x = 29,889,758,133,583,208/110,450,402
  6. Step 6: Final answer
    x = 270,617,015.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.