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Finding the Third Proportional to 145,946,710 and 317,296,964

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Solution

The third proportional to 145,946,710 and 317,296,964 is: 689,822,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,946,710 : 317,296,964 = 317,296,964 : x
  2. Step 2: Convert to fraction form
    145,946,710/317,296,964 = 317,296,964/x
  3. Step 3: Cross multiply
    145,946,710x = 317,296,964 × 317,296,964
  4. Step 4: Simplify right side
    145,946,710x = 100,677,363,363,617,296
  5. Step 5: Solve for x
    x = 100,677,363,363,617,296/145,946,710
  6. Step 6: Final answer
    x = 689,822,767.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.